Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 12.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB 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)

sample1.1s (8.8%)

Memory
4.9MiB live, 1 233.5MiB allocated
Samples
614.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 403.0ms
ival-sin: 224.0ms (55.6% of total)
ival-div: 59.0ms (14.6% of total)
ival-mult: 57.0ms (14.1% of total)
ival-sinh: 53.0ms (13.2% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain268.0ms (2.2%)

Memory
-40.1MiB live, 129.3MiB 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
37.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 11.0ms (52% of total)
ival-div: 4.0ms (18.9% of total)
ival-mult: 3.0ms (14.2% of total)
ival-sinh: 3.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess441.0ms (3.7%)

Memory
5.3MiB live, 199.4MiB 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))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify334.0ms (2.8%)

Memory
29.3MiB live, 177.4MiB 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))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize38.0ms (0.3%)

Memory
-8.2MiB live, 75.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (sinh.f64 y) y)
accuracy0
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
accuracy0
(sin.f64 x)
accuracy0.00390625
(sinh.f64 y)
Samples
19.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 8.0ms (62.9% of total)
ival-div: 2.0ms (15.7% of total)
ival-mult: 1.0ms (7.9% of total)
ival-sinh: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB 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 (* 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 (* 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 (* 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 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 (* 1/2 (/ (* (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 (/ (* (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 x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify405.0ms (3.4%)

Memory
-34.2MiB live, 406.8MiB 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
2897643
33139635
47365635
08523605
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
(* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* 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 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
(* 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))))))))
(*.f64 x (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+ (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 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite271.0ms (2.3%)

Memory
30.2MiB live, 272.3MiB 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 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))))
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -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 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y))))

eval251.0ms (2.1%)

Memory
-34.5MiB live, 126.9MiB allocated
Compiler

Compiled 13 190 to 2 060 computations (84.4% saved)

prune247.0ms (2.1%)

Memory
-0.8MiB live, 197.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6966702
Fresh000
Picked011
Done000
Total6967703
Accuracy
100.0%
Counts
703 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
89.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
73.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
67.7%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
65.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
49.0%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
Compiler

Compiled 195 to 120 computations (38.5% saved)

simplify254.0ms (2.1%)

Memory
21.4MiB live, 103.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
cost-diff0
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
cost-diff0
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #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 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Rules
5 096×lower-fma.f32
5 082×lower-fma.f64
3 210×lower-*.f32
3 188×lower-*.f64
1 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037285
067277
1129277
2241277
3443277
4744277
51013277
61743277
73364277
84872277
96220277
107005277
117539277
127741277
137777277
147825277
157884277
08059277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
#s(literal 1/5040 binary64)
#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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y y)
#s(literal 1/5040 binary64)
#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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize217.0ms (1.8%)

Memory
13.5MiB live, 202.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 y)
accuracy0.05078125
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
accuracy0.0703125
(*.f64 x (*.f64 x x))
accuracy28.287223716692488
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
accuracy0.06640625
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy0.08984375
(*.f64 y #s(literal 1/120 binary64))
accuracy0.1875
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy9.85565962606363
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
accuracy0
(*.f64 y y)
accuracy0
(sin.f64 x)
accuracy0.1015625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy16.77624293603101
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(sin.f64 x)
accuracy32.662357997079
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
accuracy0.08203125
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.16796875
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
accuracy0.28783527604405346
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy6.557630855810791
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Samples
117.0ms256×0valid
Compiler

Compiled 209 to 34 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 41.0ms (41.6% of total)
ival-sinh: 21.0ms (21.3% of total)
ival-add: 17.0ms (17.3% of total)
const: 11.0ms (11.2% of total)
ival-sin: 7.0ms (7.1% of total)
ival-div: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
3.2MiB live, 39.9MiB allocated
Counts
23 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 5)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* 1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* 1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* 1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/120 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
(* x (* x x))
1.0ms
y
@inf
(+ (* y (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))) 1)
0.0ms
x
@inf
(+ (* -1/6 (* x (* x x))) x)
0.0ms
y
@inf
(* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))
0.0ms
y
@inf
(+ (* 1/6 (* y y)) 1)

simplify438.0ms (3.6%)

Memory
-33.1MiB live, 261.2MiB allocated
Algorithm
egg-herbie
Rules
12 342×lower-fma.f64
12 342×lower-fma.f32
4 400×lower-*.f64
4 400×lower-*.f32
3 926×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01523660
14913589
214203389
332963377
080153199
Stop Event
iter limit
node limit
Counts
336 → 332
Calls
Call 1
Inputs
(* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))))))))
(* 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) (* 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 (/ (* (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
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* 1/120 y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) 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))))))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 5 binary64)))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(pow y 2)
(*.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)
(pow y 2)
(*.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)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite445.0ms (3.7%)

Memory
31.8MiB live, 507.5MiB allocated
Rules
4 732×lower-fma.f32
4 718×lower-fma.f64
4 614×lower-*.f32
4 592×lower-*.f64
4 356×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037239
067231
1217231
21399231
08175231
Stop Event
iter limit
node limit
iter limit
Counts
23 → 461
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 y y)
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(sinh.f64 y)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
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eval185.0ms (1.5%)

Memory
11.6MiB live, 283.8MiB allocated
Compiler

Compiled 24 950 to 2 168 computations (91.3% saved)

prune332.0ms (2.8%)

Memory
-4.8MiB live, 275.1MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New83519854
Fresh101
Picked055
Done011
Total83625861
Accuracy
100.0%
Counts
861 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
73.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
39.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
38.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
28.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
67.7%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
62.8%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
58.3%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
56.9%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
61.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
54.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
49.0%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
35.6%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
36.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
Compiler

Compiled 953 to 527 computations (44.7% saved)

simplify220.0ms (1.8%)

Memory
-38.5MiB live, 333.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
cost-diff0
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
cost-diff0
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #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 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Rules
9 914×lower-fma.f32
9 888×lower-fma.f64
3 712×lower-*.f32
3 680×lower-*.f64
1 694×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055606
0100561
1201561
2376561
3712561
41366561
52099561
62831561
74159561
85295561
96807561
107544561
08009561
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y y)
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y (*.f64 y #s(literal 1/5040 binary64)))
(*.f64 y y)
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(literal -1/6 binary64)
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x x)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) y))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 y #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))

localize262.0ms (2.2%)

Memory
3.9MiB live, 437.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy0.11328125
(*.f64 y (*.f64 y y))
accuracy6.295840330316063
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
accuracy28.287223716692488
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
accuracy0.1015625
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.2641144371859974
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
accuracy16.77624293603101
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy28.17671697291635
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
accuracy0.18359375
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.1875
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy9.85565962606363
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
accuracy28.287223716692488
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy0.046875
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.18359375
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy28.287223716692488
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy32.662357997079
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
accuracy0.16796875
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
accuracy0.34252277604405346
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
accuracy6.557630855810791
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
accuracy29.758431801644146
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
Samples
188.0ms256×0valid
Compiler

Compiled 365 to 53 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 122.0ms (75.7% of total)
ival-add: 15.0ms (9.3% of total)
const: 15.0ms (9.3% of total)
ival-sin: 6.0ms (3.7% of total)
ival-div: 2.0ms (1.2% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
8.4MiB live, 49.2MiB allocated
Counts
28 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #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 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) (patch #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/120 (* 1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
Calls

99 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (* (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (* x (* x x))) x)
0.0ms
x
@-inf
(+ (* (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (* x (* x x))) x)
0.0ms
x
@inf
(* (* x x) -1/6)
0.0ms
x
@0
(* (* x x) -1/6)
0.0ms
y
@inf
(* (* y y) 1/5040)

simplify275.0ms (2.3%)

Memory
7.6MiB live, 397.1MiB allocated
Algorithm
egg-herbie
Rules
11 364×lower-fma.f64
11 364×lower-fma.f32
3 902×lower-*.f64
3 902×lower-*.f32
3 702×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744134
15324027
216143827
339813815
080333620
Stop Event
iter limit
node limit
Counts
396 → 388
Calls
Call 1
Inputs
(* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))))))))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* 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))
(* 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))
(* 1/5040 (pow y 2))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 3))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 3))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 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 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) 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))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) 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))))))))
(*.f64 x (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (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 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 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 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/5040 (pow y 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64))
(* 1/5040 (pow y 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) 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))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) 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))))))))
(*.f64 x (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
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(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))

rewrite314.0ms (2.6%)

Memory
19.5MiB live, 532.6MiB allocated
Rules
7 142×lower-fma.f32
7 116×lower-fma.f64
4 448×lower-*.f32
4 416×lower-*.f64
3 298×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055416
0100383
1373383
22334383
08481383
Stop Event
iter limit
node limit
iter limit
Counts
28 → 350
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 y (*.f64 y y))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))) (/.f64 (*.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) y #s(literal 1 binary64))
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
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(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))))
(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))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 y (*.f64 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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))

eval138.0ms (1.1%)

Memory
0.2MiB live, 321.2MiB allocated
Compiler

Compiled 28 316 to 1 590 computations (94.4% saved)

prune284.0ms (2.4%)

Memory
-13.8MiB live, 519.4MiB allocated
Pruning

45 alts after pruning (37 fresh and 8 done)

PrunedKeptTotal
New79830828
Fresh7714
Picked325
Done066
Total80845853
Accuracy
100.0%
Counts
853 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
61.0%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
49.5%
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
50.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
50.8%
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
73.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
39.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
38.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
28.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
56.1%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
49.5%
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
67.7%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
58.3%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.9%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
62.8%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
56.0%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
65.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
43.1%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
43.1%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
61.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
31.1%
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
50.1%
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.0%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
36.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
35.6%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
17.8%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
17.8%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
8.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
Compiler

Compiled 2 125 to 1 132 computations (46.7% saved)

simplify226.0ms (1.9%)

Memory
8.4MiB live, 281.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
cost-diff1088
(/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
cost-diff0
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
cost-diff0
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff0
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
cost-diff320
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))
Rules
9 148×lower-fma.f32
9 126×lower-fma.f64
3 770×lower-*.f32
3 734×lower-*.f64
1 500×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061697
0106672
1215645
2442645
3823645
41234645
51682645
62272645
73328645
84293645
95828645
106553645
08136627
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(literal 1/120 binary64)
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x x)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x x)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y y)
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
x
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(*.f64 y y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #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)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(literal 1/120 binary64)
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
x
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
#s(literal -1/6 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #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))))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x x)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.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))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x x)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(*.f64 y y)
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y))) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (sinh y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)))
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
x
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
#s(approx (sinh y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y)
(*.f64 y y)
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize481.0ms (4%)

Memory
-9.8MiB live, 620.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(*.f64 x #s(literal -1/6 binary64))
accuracy0.859318097130488
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
accuracy6.8226697566886045
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
accuracy14.069878822541465
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
accuracy0.125
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
accuracy0.8613660607242485
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
accuracy14.166924807378972
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
accuracy29.758431801644146
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
accuracy0.046875
(*.f64 x #s(literal 1/120 binary64))
accuracy0.09765625
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy0.9037539462168912
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy14.166924807378972
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
accuracy0.08203125
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy1.0282034811158607
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
accuracy14.069878822541465
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy16.43355572505844
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
accuracy0.00390625
(fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
accuracy0.05859375
(*.f64 y (*.f64 y y))
accuracy0.125
(*.f64 y #s(literal 1/6 binary64))
accuracy0.8820870862399302
#s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Samples
207.0ms129×2exit
144.0ms126×0valid
3.0ms5exit
Compiler

Compiled 398 to 55 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
ival-mult: 117.0ms (38.4% of total)
const: 64.0ms (21% of total)
adjust: 59.0ms (19.4% of total)
ival-div: 35.0ms (11.5% of total)
ival-add: 21.0ms (6.9% of total)
ival-sin: 7.0ms (2.3% of total)
ival-sinh: 1.0ms (0.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
28.6MiB live, 76.2MiB allocated
Counts
29 → 420
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (patch (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) (patch #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))) (patch (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (patch #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/120 binary64)) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
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#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (patch #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
Calls

105 calls:

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

simplify336.0ms (2.8%)

Memory
-18.6MiB live, 569.2MiB allocated
Algorithm
egg-herbie
Rules
16 514×lower-fma.f64
16 514×lower-fma.f32
6 422×lower-+.f64
6 422×lower-+.f32
4 338×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01824244
15794124
218003908
344653887
083553718
Stop Event
iter limit
node limit
Counts
420 → 413
Calls
Call 1
Inputs
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* 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))
(* 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) (* 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 (/ (* (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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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 (/ (* (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) (* 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 (/ (* (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)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(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 (/ (* (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))))))))
(* 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
Outputs
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* 1/120 (pow y 3))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* 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 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(* 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))))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 x (*.f64 x #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #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))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #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 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* 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 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(* 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))))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 x (*.f64 x #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #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))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #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 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
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(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 y (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 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))

rewrite511.0ms (4.2%)

Memory
-143.1MiB live, 570.3MiB allocated
Rules
7 026×lower-fma.f32
7 004×lower-fma.f64
4 684×lower-*.f32
4 648×lower-*.f64
3 480×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061449
0106429
1397405
22492405
08761392
Stop Event
iter limit
node limit
iter limit
Counts
29 → 353
Calls
Call 1
Inputs
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 #s(literal 1 binary64) y)
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 y (*.f64 y y))
(fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(*.f64 x #s(literal 1/120 binary64))
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))
(*.f64 x #s(literal -1/6 binary64))
Outputs
(+.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) (*.f64 y #s(literal 1/6 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y (-.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(literal 1 binary64))
#s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))
(pow.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))
(*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)

eval116.0ms (1%)

Memory
17.9MiB live, 243.5MiB allocated
Compiler

Compiled 28 445 to 1 450 computations (94.9% saved)

prune243.0ms (2%)

Memory
-26.4MiB live, 358.9MiB allocated
Pruning

54 alts after pruning (43 fresh and 11 done)

PrunedKeptTotal
New88720907
Fresh92332
Picked235
Done088
Total89854952
Accuracy
100.0%
Counts
952 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
50.7%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
61.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
61.0%
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
49.5%
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
44.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
50.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
84.4%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
73.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
38.8%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
39.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
28.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
56.1%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
49.5%
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
58.3%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.9%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.3%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.3%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
34.7%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
62.8%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
62.4%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
50.8%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
60.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
56.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
49.7%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
56.0%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
60.9%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
65.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
43.1%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
61.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
23.2%
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
49.0%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
36.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
33.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
35.6%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
17.8%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
17.8%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
8.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
8.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
8.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
8.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
Compiler

Compiled 3 273 to 991 computations (69.7% saved)

regimes110.0ms (0.9%)

Memory
14.7MiB live, 210.4MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

23.0ms
(sin.f64 x)
22.0ms
y
22.0ms
x
20.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
18.0ms
(/.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 25 to 17 computations (32% saved)

regimes159.0ms (1.3%)

Memory
12.3MiB live, 131.0MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

49.0ms
(sin.f64 x)
38.0ms
(/.f64 (sinh.f64 y) y)
29.0ms
y
20.0ms
x
19.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
94.2%2x
96.7%3y
99.4%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
94.2%3(sin.f64 x)
89.7%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes121.0ms (1%)

Memory
-15.1MiB live, 62.5MiB allocated
Counts
73 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

37.0ms
y
18.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
96.7%3y
94.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes37.0ms (0.3%)

Memory
-4.9MiB live, 33.3MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

33.0ms
y
Results
AccuracySegmentsBranch
96.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory
-11.3MiB live, 33.3MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
Calls

1 calls:

29.0ms
y
Results
AccuracySegmentsBranch
96.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes78.0ms (0.6%)

Memory
7.7MiB live, 84.9MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
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(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

32.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
23.0ms
x
19.0ms
y
Results
AccuracySegmentsBranch
94.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
89.3%2x
92.1%3y
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
25.4MiB live, 25.4MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (neg.f64 x)))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (+ (* (* y (* y y)) 1/120) (* y 1/6))) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

17.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
94.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory
-15.8MiB live, 22.9MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

16.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
94.3%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes139.0ms (1.2%)

Memory
-0.2MiB live, 80.2MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/5040)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(*.f64 (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x))))
(*.f64 (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (neg.f64 x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(/.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (fma.f64 y (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y)) y)))) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

5 calls:

73.0ms
y
18.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
16.0ms
(sin.f64 x)
16.0ms
x
12.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
66.0%3x
64.6%2y
62.8%1(/.f64 (sinh.f64 y) y)
73.3%2(sin.f64 x)
73.3%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes69.0ms (0.6%)

Memory
-16.5MiB live, 22.2MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
(sin.f64 x)
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
73.3%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
73.3%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes48.0ms (0.4%)

Memory
10.3MiB live, 49.1MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

36.0ms
(sin.f64 x)
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
73.0%2(sin.f64 x)
73.0%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes47.0ms (0.4%)

Memory
-7.3MiB live, 33.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

35.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
72.9%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
72.7%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes21.0ms (0.2%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

10.0ms
(sin.f64 x)
9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.7%2(sin.f64 x)
68.5%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes30.0ms (0.2%)

Memory
-18.9MiB live, 19.3MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

9.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
71.9%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

8.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
71.9%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes44.0ms (0.4%)

Memory
-3.8MiB live, 35.0MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) y))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

35.0ms
(sin.f64 x)
7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
61.4%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
67.4%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes33.0ms (0.3%)

Memory
-24.9MiB live, 14.1MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

32.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
67.4%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

6.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
67.2%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
Calls

1 calls:

6.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
65.0%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes82.0ms (0.7%)

Memory
-28.8MiB live, 52.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
Calls

5 calls:

35.0ms
(sin.f64 x)
31.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
x
5.0ms
y
4.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
49.7%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
49.7%1(/.f64 (sinh.f64 y) y)
52.1%2x
49.7%1y
58.8%2(sin.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes46.0ms (0.4%)

Memory
-1.5MiB live, 37.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)))
Calls

5 calls:

31.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(sin.f64 x)
4.0ms
y
4.0ms
x
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
42.1%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
35.6%1(/.f64 (sinh.f64 y) y)
35.6%1y
35.6%1x
42.1%2(sin.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes40.0ms (0.3%)

Memory
-1.6MiB live, 37.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
Calls

5 calls:

27.0ms
y
3.0ms
x
3.0ms
(sin.f64 x)
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
33.1%1y
33.1%1(/.f64 (sinh.f64 y) y)
33.1%1x
33.1%1(sin.f64 x)
33.1%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes11.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
Calls

5 calls:

2.0ms
(sin.f64 x)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
8.4%1(sin.f64 x)
8.4%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
8.4%1x
8.4%1(/.f64 (sinh.f64 y) y)
8.4%1y
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.980250210461642e+45
+inf
0.0ms
-inf
-0.997105810979927
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch119.0ms (1%)

Memory
-21.8MiB live, 59.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
1.5734996596532022e+51
9.202891564293646e+54
74.0ms
111.15303354615206
116102.6067155848
Samples
53.0ms256×0valid
Compiler

Compiled 652 to 403 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sin: 42.0ms (89.4% of total)
ival-div: 2.0ms (4.3% of total)
ival-sinh: 2.0ms (4.3% of total)
ival-mult: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5734996596532022e+51
9.202891564293646e+54
1.0ms
111.15303354615206
116102.6067155848
Compiler

Compiled 612 to 379 computations (38.1% saved)

bsearch23.0ms (0.2%)

Memory
-7.3MiB live, 31.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.14494241336895e+76
2.5136375966654837e+80
1.0ms
111.15303354615206
116102.6067155848
Samples
16.0ms128×0valid
Compiler

Compiled 564 to 347 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 11.0ms (83% of total)
ival-div: 1.0ms (7.5% of total)
ival-mult: 1.0ms (7.5% of total)
ival-sinh: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.980250210461642e+45
+inf
0.0ms
-inf
-0.997105810979927
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.980250210461642e+45
+inf
0.0ms
-inf
-0.997105810979927
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.980250210461642e+45
+inf
0.0ms
-inf
-0.997105810979927
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.027804597007711408
2.000986555299783e-301
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1633673973165942e-125
2.1928941000310662e-125
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.027804597007711408
2.000986555299783e-301
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00023927993931500106
0.09277030927144435
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.621724427919338e-17
8.396013392550428e-17
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027535300253268485
0.04265567445314612
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.03052534427234024
4.723932263525857e-291
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify24.0ms (0.2%)

Memory
-7.7MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Rules
100×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861729
12391729
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 -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 y #s(literal 112 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9999999999999999932209486743616279764617084419440640 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 112 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9999999999999999932209486743616279764617084419440640 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 112 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9999999999999999931398190359470212947659194368 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9999999999999999931398190359470212947659194368 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (sin.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 7621456421669903/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 4867778304876401/81129638414606681695789005144064 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 #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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
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(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
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(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y 1/120)) 1/6)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) -1/6)) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
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(if (<=.f64 (sin.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* x (* (* x x) -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))

soundness1.7s (13.9%)

Memory
45.4MiB live, 952.2MiB allocated
Rules
16 514×lower-fma.f64
16 514×lower-fma.f32
15 526×lower-fma.f64
15 526×lower-fma.f32
12 342×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092700
1288693
2897643
33139635
47365635
08523605
061449
0106429
1397405
22492405
08761392
01744134
15324027
216143827
339813815
080333620
01523660
14913589
214203389
332963377
080153199
01824244
15794124
218003908
344653887
083553718
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 188 to 766 computations (65% saved)

preprocess218.0ms (1.8%)

Memory
-3.8MiB live, 317.2MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 2 672 to 350 computations (86.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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