Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 12.4s)

analyze14.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
1×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)

sample983.0ms (7.9%)

Memory
17.8MiB live, 1 118.1MiB allocated
Samples
681.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-cos: 231.0ms (51.3% of total)
ival-mult: 91.0ms (20.2% of total)
ival-sinh: 60.0ms (13.3% of total)
ival-div: 59.0ms (13.1% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess512.0ms (4.1%)

Memory
-30.6MiB live, 182.6MiB allocated
Algorithm
1×egg-herbie
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 304×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
16137
216437
353837
4178337
5425437
6574937
7714837
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
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Symmetry

(abs y)

(abs x)

explain109.0ms (0.9%)

Memory
25.4MiB live, 102.3MiB 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-(cos.f64 x)
00-0-(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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
52.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-cos: 29.0ms (75.2% of total)
ival-div: 4.0ms (10.4% of total)
ival-mult: 3.0ms (7.8% of total)
ival-sinh: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify368.0ms (3%)

Memory
-16.9MiB live, 105.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.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
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize46.0ms (0.4%)

Memory
-15.2MiB live, 24.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(cos.f64 x)
Samples
17.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 5.0ms (50.3% of total)
ival-div: 2.0ms (20.1% of total)
ival-mult: 1.0ms (10.1% of total)
ival-sinh: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))>
#<alt (cos.f64 x)>
#<alt (/.f64 (sinh.f64 y) y)>
#<alt (sinh.f64 y)>
Outputs
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
Calls

15 calls:

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

simplify588.0ms (4.8%)

Memory
6.1MiB live, 522.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 270×lower-fma.f64
14 270×lower-fma.f32
5 594×lower-*.f64
5 594×lower-*.f32
2 458×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084686
1241679
2746635
32420627
45288623
57976623
08400593
Stop Event
1×iter limit
1×node limit
Counts
60 → 59
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.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 (*.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 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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (*.f64 y 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))))

rewrite491.0ms (4%)

Memory
18.7MiB live, 366.4MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×iter limit
Counts
4 → 644
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.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 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) y)))
(fma.f64 (/.f64 (cos.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.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 (cos.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (cos.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 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cos.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 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.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 (cos.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 (cos.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.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) (cos.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.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 (cos.f64 x) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (-.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 (neg.f64 (/.f64 (cos.f64 x) y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (cos.f64 x) y)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (cos.f64 x)) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (cos.f64 x)) (*.f64 y (*.f64 #s(literal 4 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)))) (/.f64 (cos.f64 x) y)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 (cos.f64 x) y)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y)) (+.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)) (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (neg.f64 (/.f64 (cos.f64 x) y))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 (cos.f64 x) y))) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 x) y))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
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(*.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))))

eval143.0ms (1.2%)

Memory
6.4MiB live, 170.0MiB allocated
Compiler

Compiled 13 175 to 2 053 computations (84.4% saved)

prune294.0ms (2.4%)

Memory
-12.3MiB live, 223.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6985703
Fresh000
Picked101
Done000
Total6995704
Accuracy
100.0%
Counts
704 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
▶70.7%
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶65.3%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
▶66.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
▶48.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Compiler

Compiled 102 to 68 computations (33.3% saved)

simplify688.0ms (5.6%)

Memory
-10.1MiB live, 269.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
✓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
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (sinh.f64 y))
✓cost-diff0
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
Rules
4 006×lower-fma.f32
4 002×lower-fma.f64
3 932×lower-*.f32
3 920×lower-*.f64
1 852×lower-neg.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026144
043144
174144
2116142
3224142
4524142
51280142
62874142
75268142
08083142
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
y
(*.f64 (cos.f64 x) (sinh.f64 y))
(cos.f64 x)
x
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cos.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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
#s(literal 1 binary64)
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
y
(*.f64 (cos.f64 x) (sinh.f64 y))
(cos.f64 x)
x
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) #s(approx (cos x) #s(literal 1 binary64))) y)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(cos.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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize117.0ms (0.9%)

Memory
23.1MiB live, 185.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy77.0%
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy97.7%
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy79.5%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy97.5%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
✓accuracy99.9%
(*.f64 (cos.f64 x) (sinh.f64 y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
Samples
53.0ms129×2exit
25.0ms126×0valid
2.0ms1×5exit
Compiler

Compiled 113 to 20 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 11.0ms (25% of total)
ival-div: 8.0ms (18.2% of total)
adjust: 7.0ms (15.9% of total)
ival-cos: 7.0ms (15.9% of total)
const: 5.0ms (11.4% of total)
ival-add: 3.0ms (6.8% of total)
ival-sinh: 1.0ms (2.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
-12.9MiB live, 26.1MiB allocated
Counts
17 → 288
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))>
#<alt (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))>
#<alt (*.f64 (cos.f64 x) (sinh.f64 y))>
#<alt (cos.f64 x)>
#<alt #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))>
#<alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))>
#<alt #s(approx (cos x) #s(literal 1 binary64))>
#<alt (/.f64 (sinh.f64 y) y)>
#<alt (sinh.f64 y)>
#<alt (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))>
#<alt #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 y y)>
Outputs
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (/ 1 (cos x))>
#<alt (+ (* -1/6 (/ (pow y 2) (cos x))) (/ 1 (cos x)))>
#<alt (+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (cos x))) (* 7/360 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))>
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))>
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))>
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))>
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))>
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))>
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#<alt (cos x)>
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#<alt (cos x)>
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#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
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#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

72 calls:

TimeVariablePointExpression
68.0ms
x
@inf
(+ (* x (* x -1/2)) 1)
1.0ms
x
@0
(/ y (* (cos x) (sinh y)))
1.0ms
y
@-inf
(/ y (* (cos x) (sinh y)))
1.0ms
x
@inf
(/ y (* (cos x) (sinh y)))
1.0ms
y
@inf
(/ y (* (cos x) (sinh y)))

simplify867.0ms (7%)

Memory
4.8MiB live, 772.1MiB allocated
Algorithm
1×egg-herbie
Rules
18 676×lower-fma.f64
18 676×lower-fma.f32
5 524×lower-*.f64
5 524×lower-*.f32
4 528×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01603524
14943433
216573202
345083182
088983044
Stop Event
1×iter limit
1×node limit
Counts
288 → 287
Calls
Call 1
Inputs
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(/ 1 (cos x))
(+ (* -1/6 (/ (pow y 2) (cos x))) (/ 1 (cos x)))
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (cos x))) (* 7/360 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y)))))
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y))))))))
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/360 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/24 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/2 (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y))))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* y (cos x))
(* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))
(* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))
(* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x))))))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos 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 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(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)
Outputs
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(fma.f64 (*.f64 y y) (*.f64 (cos.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))) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1/4 (/ (* (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))) y) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(fma.f64 (*.f64 y y) (*.f64 (cos.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))) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 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)

rewrite341.0ms (2.8%)

Memory
15.7MiB live, 614.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 206×lower-fma.f32
5 202×lower-fma.f64
4 514×lower-*.f32
4 502×lower-*.f64
2 194×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026118
043118
1117116
2601116
34773116
08139116
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 608
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(cos.f64 x)
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(*.f64 (cos.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 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 y y)
Outputs
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 x) (sinh.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 y (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (cos.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y))))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(pow.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sinh.f64 y) (*.f64 (/.f64 (cos.f64 x) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (cos.f64 x)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (cos.f64 x) y) (/.f64 (sinh.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (cos.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (cos.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (cos.f64 x)))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sinh.f64 y) y))
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))

eval130.0ms (1%)

Memory
12.0MiB live, 396.7MiB allocated
Compiler

Compiled 18 575 to 1 999 computations (89.2% saved)

prune154.0ms (1.2%)

Memory
-34.7MiB live, 373.7MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 077141 091
Fresh000
Picked325
Done000
Total1 080161 096
Accuracy
100.0%
Counts
1 096 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ y (* (cos x) (sinh y))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
49.7%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶47.9%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
57.2%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
48.6%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
14.4%
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
✓66.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
▶59.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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))))
56.2%
(*.f64 #s(approx (cos x) #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))))
44.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓48.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
▶37.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶34.1%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶28.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 490 to 275 computations (43.9% saved)

simplify264.0ms (2.1%)

Memory
14.4MiB live, 576.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
✓cost-diff0
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Rules
8 572×lower-fma.f32
8 554×lower-fma.f64
3 256×lower-*.f32
3 244×lower-*.f64
1 440×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037380
062370
1138370
2319370
3641370
41149370
51410370
61921370
73208370
84346370
95880370
106559370
08025370
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
Outputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (sinh y) (fma.f64 y (*.f64 y (*.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)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) y))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
(/.f64 #s(approx (sinh y) (fma.f64 y (*.f64 y (*.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)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sinh y) (fma.f64 y (*.f64 y (*.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))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.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)
(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))
(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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 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 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

localize418.0ms (3.4%)

Memory
-24.0MiB live, 344.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
✓accuracy70.7%
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy52.7%
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy52.5%
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy48.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
✓accuracy52.7%
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy48.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓accuracy56.8%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy48.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy99.8%
(*.f64 y (*.f64 y y))
✓accuracy90.8%
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
✓accuracy56.8%
#s(approx (cos x) #s(literal 1 binary64))
Samples
172.0ms256×0valid
Compiler

Compiled 231 to 37 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-cos: 81.0ms (62.6% of total)
ival-mult: 20.0ms (15.4% of total)
const: 14.0ms (10.8% of total)
ival-add: 10.0ms (7.7% of total)
ival-div: 2.0ms (1.5% of total)
ival-sinh: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (0.8%)

Memory
-4.9MiB live, 34.2MiB allocated
Counts
21 → 312
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))>
#<alt #s(approx (cos x) #s(literal 1 binary64))>
#<alt (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)>
#<alt #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))>
#<alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))>
#<alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))>
#<alt (*.f64 y (*.f64 y y))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))>
Outputs
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (+ 1/120 (* 1/5040 (pow y 2)))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x 1/24)
0.0ms
x
@inf
(+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)
0.0ms
y
@-inf
(* y (* y y))
0.0ms
x
@-inf
(* x 1/24)
0.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1)

simplify384.0ms (3.1%)

Memory
11.0MiB live, 884.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 348×lower-fma.f64
13 348×lower-fma.f32
5 764×lower-*.f64
5 764×lower-*.f32
3 082×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243342
13403301
29793111
330563047
469333047
084902887
Stop Event
1×iter limit
1×node limit
Counts
312 → 311
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) 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)))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
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))))
Outputs
(* 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)
(+ (* -1/4 (/ (* (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))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/48 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(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 (*.f64 x x) #s(literal -1/1440 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (fma.f64 y (*.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))) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.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 y (*.f64 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 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 (*.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 (*.f64 y y) (*.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)
(* 1/2 (- (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))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(+ (* -1/4 (/ (* (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))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/48 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(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 (*.f64 x x) #s(literal -1/1440 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (fma.f64 y (*.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))) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) 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)
(+ (* -1/4 (/ (* (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))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/48 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(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 (*.f64 x x) #s(literal -1/1440 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.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)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (fma.f64 y (*.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))) #s(literal 1 binary64)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(pow y 3)
(*.f64 y (*.f64 y y))
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 y (*.f64 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 y (*.f64 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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* -1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 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 y (*.f64 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)
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 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))

rewrite345.0ms (2.8%)

Memory
38.5MiB live, 711.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 094×lower-fma.f32
6 076×lower-fma.f64
4 174×lower-*.f32
4 162×lower-*.f64
3 822×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037280
062272
1259272
21917272
08174272
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 405
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 y (*.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) y)
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (*.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))))
(/.f64 (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 y #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))))
(/.f64 (*.f64 (neg.f64 #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 y))
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(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.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) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

eval120.0ms (1%)

Memory
-4.8MiB live, 261.9MiB allocated
Compiler

Compiled 27 105 to 1 555 computations (94.3% saved)

prune105.0ms (0.8%)

Memory
-11.9MiB live, 238.8MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New92818946
Fresh459
Picked325
Done022
Total93527962
Accuracy
100.0%
Counts
962 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ y (* (cos x) (sinh y))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
59.5%
(*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
▶49.7%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶60.4%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
59.1%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
56.1%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
58.7%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
▶47.8%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
48.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
57.2%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
16.3%
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
44.7%
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓66.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓59.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
43.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
59.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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))))
▶56.2%
(*.f64 #s(approx (cos x) #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))))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
44.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓48.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
37.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
36.9%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
▶31.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
10.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓28.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 1 071 to 581 computations (45.8% saved)

simplify279.0ms (2.3%)

Memory
6.0MiB live, 315.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 (*.f64 y 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(approx (cos x) #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))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Rules
9 608×lower-fma.f32
9 584×lower-fma.f64
3 614×lower-*.f32
3 594×lower-*.f64
1 626×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057583
097573
1208573
2383573
3714573
41210573
51464573
61972573
73231573
84377573
95926573
106620573
08079569
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #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))))
#s(approx (cos x) #s(literal 1 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(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)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)
(/.f64 #s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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)) y)
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
#s(approx (sinh y) (fma.f64 (*.f64 y y) (*.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))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 y y) (*.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)
(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))
(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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 y (*.f64 y y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) #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))))
#s(approx (cos x) #s(literal 1 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)))
#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 (*.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))
(*.f64 y y)
y
(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)
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1 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 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
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 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 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

localize209.0ms (1.7%)

Memory
11.9MiB live, 296.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy70.7%
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy52.5%
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
✓accuracy70.7%
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy52.7%
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
✓accuracy49.4%
#s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 y #s(literal 1/120 binary64))
✓accuracy85.6%
#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)))
✓accuracy56.8%
#s(approx (cos x) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy52.7%
#s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))
✓accuracy52.5%
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy48.3%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓accuracy99.8%
(*.f64 y (*.f64 y y))
✓accuracy99.6%
(*.f64 x #s(literal -1/720 binary64))
✓accuracy90.8%
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
✓accuracy52.5%
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Samples
112.0ms256×0valid
Compiler

Compiled 338 to 50 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 36.0ms (47.8% of total)
ival-add: 15.0ms (19.9% of total)
const: 14.0ms (18.6% of total)
ival-cos: 6.0ms (8% of total)
ival-div: 2.0ms (2.7% of total)
ival-sinh: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-17.7MiB live, 20.0MiB allocated
Counts
28 → 396
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (cos x) #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))))>
#<alt #s(approx (cos x) #s(literal 1 binary64))>
#<alt #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)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))>
#<alt (*.f64 x #s(literal -1/720 binary64))>
#<alt (*.f64 y (*.f64 y y))>
#<alt #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))>
#<alt (*.f64 y #s(literal 1/120 binary64))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
#<alt #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/24 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))>
Outputs
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
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#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
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#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
Calls

99 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* (* x x) 1/24)
0.0ms
y
@inf
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)
0.0ms
y
@-inf
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)
0.0ms
y
@-inf
(* y 1/120)
0.0ms
x
@inf
(* x -1/720)

simplify563.0ms (4.5%)

Memory
-5.8MiB live, 474.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 862×lower-fma.f64
13 862×lower-fma.f32
5 534×lower-*.f64
5 534×lower-*.f32
3 110×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323972
13653931
210303741
331913661
472623661
085113458
Stop Event
1×iter limit
1×node limit
Counts
396 → 395
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (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 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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 (* 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 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
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))))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(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)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* 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)))))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (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))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
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))))
Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1/4 (/ (* (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))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/1440 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (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 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/720 (pow x 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* -1/720 (pow x 6))
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(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(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))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(* -1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/24 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))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 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 (*.f64 y 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 (*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 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 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))

rewrite542.0ms (4.4%)

Memory
42.5MiB live, 548.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 064×lower-fma.f32
7 040×lower-fma.f64
4 372×lower-*.f32
4 352×lower-*.f64
3 232×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057431
097425
1400425
22394425
08494421
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 353
Calls
Call 1
Inputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) #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))))
#s(approx (cos x) #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 (*.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 (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 y (*.f64 y y))
#s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 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 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 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))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.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) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))

eval213.0ms (1.7%)

Memory
-11.3MiB live, 230.5MiB allocated
Compiler

Compiled 29 647 to 1 356 computations (95.4% saved)

prune152.0ms (1.2%)

Memory
18.4MiB live, 216.4MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New91714931
Fresh61218
Picked325
Done044
Total92632958
Accuracy
100.0%
Counts
958 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ y (* (cos x) (sinh y))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
59.5%
(*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
56.2%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
57.8%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
26.5%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
58.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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))))
56.0%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
24.7%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
48.6%
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
57.2%
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
44.7%
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓66.9%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓59.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
43.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
59.5%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
56.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
56.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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))))
✓56.2%
(*.f64 #s(approx (cos x) #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))))
59.2%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
44.7%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
32.1%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
31.0%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
30.8%
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
✓48.3%
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
36.9%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
36.9%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
✓31.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
34.0%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
29.8%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
10.7%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓28.2%
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Compiler

Compiled 1 597 to 477 computations (70.1% saved)

regimes319.0ms (2.6%)

Memory
-6.5MiB live, 147.9MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (* (cos x) (sinh y))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

251.0ms
(/.f64 (sinh.f64 y) y)
19.0ms
(cos.f64 x)
18.0ms
y
16.0ms
x
12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes75.0ms (0.6%)

Memory
-33.4MiB live, 138.2MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (* (cos x) (sinh y))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(approx (cos x) #s(approx (+ (* x (* x -1/2)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

19.0ms
y
14.0ms
(cos.f64 x)
14.0ms
x
12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
86.2%2x
92.6%3y
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
86.1%2(cos.f64 x)
87.5%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes14.0ms (0.1%)

Memory
34.6MiB live, 34.6MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
Calls

1 calls:

11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
100.0%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-13.5MiB live, 25.1MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Calls

1 calls:

11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
94.4%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes317.0ms (2.6%)

Memory
-7.8MiB live, 108.3MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y 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)))) #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)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Calls

5 calls:

256.0ms
x
21.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
(cos.f64 x)
12.0ms
y
10.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
73.0%2(cos.f64 x)
60.4%1x
62.9%2(/.f64 (sinh.f64 y) y)
62.9%2y
74.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.1%)

Memory
-3.6MiB live, 34.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
Calls

1 calls:

11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
74.6%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
27.9MiB live, 66.4MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
Calls

2 calls:

12.0ms
(cos.f64 x)
10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.3%2(cos.f64 x)
73.9%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes25.0ms (0.2%)

Memory
-17.2MiB live, 26.9MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #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 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sinh y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))
Calls

2 calls:

12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
72.3%2(cos.f64 x)
72.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes45.0ms (0.4%)

Memory
-2.8MiB live, 34.6MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y))
Calls

2 calls:

33.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
72.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
72.2%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes23.0ms (0.2%)

Memory
-2.8MiB live, 36.1MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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 (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
Calls

2 calls:

12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
71.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
71.9%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes50.0ms (0.4%)

Memory
-0.6MiB live, 36.2MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #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))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))
Calls

2 calls:

40.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
71.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
71.2%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes15.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #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))))
Calls

2 calls:

7.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
68.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
68.2%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes35.0ms (0.3%)

Memory
-27.8MiB live, 15.0MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #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))))
Calls

2 calls:

29.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
67.8%2(cos.f64 x)
67.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes18.0ms (0.1%)

Memory
2.7MiB live, 41.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(approx (cos x) #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))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #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))))
Calls

4 calls:

5.0ms
y
4.0ms
(cos.f64 x)
4.0ms
(/.f64 (sinh.f64 y) y)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
56.2%1(/.f64 (sinh.f64 y) y)
56.2%1y
62.3%2(cos.f64 x)
62.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes14.0ms (0.1%)

Memory
-2.0MiB live, 36.8MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
Calls

3 calls:

5.0ms
x
4.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
48.7%3x
52.9%3(cos.f64 x)
62.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))
Calls

1 calls:

3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
62.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
1.6MiB live, 39.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/24)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

4.0ms
(/.f64 (sinh.f64 y) y)
4.0ms
y
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
52.9%3(cos.f64 x)
44.7%1(/.f64 (sinh.f64 y) y)
48.6%3y
50.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
50.9%2(cos.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-46.4MiB live, 22.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Calls

5 calls:

9.0ms
x
2.0ms
y
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
33.6%2(/.f64 (sinh.f64 y) y)
33.6%2y
31.2%1x
34.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
34.2%2(cos.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(cos.f64 x)
1.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
28.2%1x
28.2%1(/.f64 (sinh.f64 y) y)
28.2%1y
28.2%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
28.2%1(cos.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000498115
1.0000008402453477
0.0ms
-inf
-0.9964611794527075
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999557095
1.0
0.0ms
-inf
-0.9964611794527075
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.994705371804185
0.9999999999557095
0.0ms
-inf
-0.9964611794527075
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.994705371804185
0.9999999999557095
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.994705371804185
0.9999999999557095
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.994705371804185
0.9999999999557095
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000008402453477
2423384326337439.5
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000008402453477
2423384326337439.5
0.0ms
-0.13974005534869047
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9336172682317285
0.9433160096048706
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
-37.9MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03943021620570015
0.0010128502438554673
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify15.0ms (0.1%)

Memory
33.0MiB live, 32.9MiB allocated
Algorithm
1×egg-herbie
Rules
62×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551330
11891330
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254342059/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (sinh y) (fma.f64 (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 (*.f64 y y)) y)) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 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)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 y (*.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))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #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)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #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)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #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)))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (cos.f64 x) #s(literal 2116691824864133/2251799813685248 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(approx (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 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)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 binary64)) (*.f64 (cos.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))))
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#s(approx (* (cos x) (/ (sinh y) y)) #s(approx (cos x) #s(literal 1 binary64)))

soundness1.5s (11.9%)

Memory
19.6MiB live, 1 163.9MiB allocated
Rules
18 676×lower-fma.f64
18 676×lower-fma.f32
14 270×lower-fma.f64
14 270×lower-fma.f32
13 862×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243342
13403301
29793111
330563047
469333047
084902887
084686
1241679
2746635
32420627
45288623
57976623
08400593
01323972
13653931
210303741
331913661
472623661
085113458
01603524
14943433
216573202
345083182
088983044
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 246 to 916 computations (59.2% saved)

preprocess190.0ms (1.5%)

Memory
-2.9MiB live, 277.9MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 2 486 to 462 computations (81.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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