Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 12.6s)

analyze16.0ms (0.1%)

Memory
-11.1MiB live, 27.2MiB 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)

sample933.0ms (7.4%)

Memory
11.9MiB live, 1 071.5MiB allocated
Samples
747.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 463.0ms
ival-cos: 242.0ms (52.3% of total)
ival-sinh: 98.0ms (21.2% of total)
ival-div: 64.0ms (13.8% of total)
ival-mult: 49.0ms (10.6% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess509.0ms (4%)

Memory
21.4MiB live, 304.6MiB allocated
Algorithm
2×egg-herbie
Rules
2 656×accelerator-lowering-fma.f32
2 656×accelerator-lowering-fma.f64
1 792×*-lowering-*.f32
1 792×*-lowering-*.f64
1 304×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
16144
216444
353844
4178944
5424944
6575844
7714544
067
1157
2327
3707
41487
52977
67567
718007
830477
940327
1045247
1146037
1246067
1346087
1450287
1552487
1653687
1755027
1856067
1956467
2056627
2156707
2256707
2357887
2460307
2560667
2660667
2760667
060667
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (cos x) (/ (sinh y) y))
Outputs
(* (cos x) (/ (sinh y) y))
(fma.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y) #s(literal 0 binary64))
Call 2
Inputs
(* (cos x) (/ (sinh y) y))
(* (cos (neg x)) (/ (sinh y) y))
(* (cos x) (/ (sinh (neg y)) (neg y)))
(neg (* (cos (neg x)) (/ (sinh y) y)))
(neg (* (cos x) (/ (sinh (neg y)) (neg y))))
(* (cos y) (/ (sinh x) x))
Outputs
(* (cos x) (/ (sinh y) y))
(* (cos (neg x)) (/ (sinh y) y))
(* (cos x) (/ (sinh y) y))
(* (cos x) (/ (sinh (neg y)) (neg y)))
(* (cos x) (/ (sinh y) y))
(neg (* (cos (neg x)) (/ (sinh y) y)))
(* (cos x) (/ (sinh y) (neg y)))
(neg (* (cos x) (/ (sinh (neg y)) (neg y))))
(* (cos x) (/ (sinh y) (neg y)))
(* (cos y) (/ (sinh x) x))
Symmetry

(abs x)

(abs y)

explain76.0ms (0.6%)

Memory
-32.4MiB live, 138.2MiB 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
39.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-cos: 15.0ms (58.6% of total)
ival-div: 4.0ms (15.6% of total)
ival-mult: 3.0ms (11.7% of total)
ival-sinh: 3.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify479.0ms (3.8%)

Memory
12.0MiB live, 242.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
(cos.f64 x)
Rules
2 656×accelerator-lowering-fma.f32
2 656×accelerator-lowering-fma.f64
1 792×*-lowering-*.f32
1 792×*-lowering-*.f64
1 196×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11517
23217
37017
414817
529717
675617
7180017
8304717
9403217
10452417
11460317
12460617
13460817
14502817
15524817
16536817
17550217
18560617
19564617
20566217
21567017
22567017
23578817
24603017
25606617
26606617
27606617
0606617
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (cos x) (/ (sinh y) y))
(cos x)
x
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (cos x) (/ (sinh y) y))
(fma.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y) #s(literal 0 binary64))
(cos x)
(cos.f64 x)
x
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize33.0ms (0.3%)

Memory
-8.1MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Samples
26.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 6.0ms (55.3% of total)
ival-div: 2.0ms (18.4% of total)
ival-mult: 1.0ms (9.2% of total)
ival-sinh: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (cos x)>
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
#<alt (* (cos x) (/ (sinh y) y))>
Outputs
#<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))>
Calls

15 calls:

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

rewrite313.0ms (2.5%)

Memory
-45.1MiB live, 528.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 112×*-lowering-*.f32
5 112×*-lowering-*.f64
4 418×/-lowering-/.f32
4 418×/-lowering-/.f64
1 726×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12215
211715
386615
0840915
Stop Event
1×iter limit
1×node limit
Counts
4 → 624
Calls
Call 1
Inputs
(cos x)
(/ (sinh y) y)
(sinh y)
(* (cos x) (/ (sinh y) y))
Outputs
(cos.f64 x)
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 (exp.f64 y) (+.f64 y y)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 (exp.f64 y) (+.f64 y y)) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sinh.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) y)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (exp.f64 y) y) #s(literal -1/2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sinh.f64 y)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y)))
(-.f64 (/.f64 (exp.f64 y) (+.f64 y y)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 y y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))) (+.f64 y y)) (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))) (+.f64 y y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (+.f64 y y)) (/.f64 (/.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (+.f64 y y)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y)))
(-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) (*.f64 y (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) (/.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y)))))
(fma.f64 (exp.f64 y) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (exp.f64 y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sinh.f64 y) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (exp.f64 y) (+.f64 y y)) #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (exp.f64 y) (+.f64 y y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (/.f64 (exp.f64 y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (*.f64 (/.f64 (exp.f64 y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) y) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (exp.f64 y) y) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (exp.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 (exp.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 y y))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
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(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (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)))) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (sinh.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sinh.f64 y))) #s(literal -2 binary64))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (+.f64 y y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) y) #s(literal -2 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 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)))
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) y)))
(*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) (+.f64 y y)))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (-.f64 #s(literal 0 binary64) (sinh.f64 y)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 (cos.f64 x) y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (/.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)))) (/.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 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) (+.f64 y y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.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 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -2 binary64)) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) y) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sinh.f64 y))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (cos.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)

simplify499.0ms (4%)

Memory
38.4MiB live, 861.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 270×accelerator-lowering-fma.f32
14 270×accelerator-lowering-fma.f64
5 594×*-lowering-*.f32
5 594×*-lowering-*.f64
2 458×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084686
1241679
2745635
32422627
45291623
57981623
08405593
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 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 x (*.f64 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 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.f64 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)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #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 (-.f64 #s(literal 0 binary64) 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 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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)))))))
(*.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 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)))

eval148.0ms (1.2%)

Memory
-33.7MiB live, 177.4MiB allocated
Compiler

Compiled 12 627 to 1 997 computations (84.2% saved)

prune89.0ms (0.7%)

Memory
41.3MiB live, 236.2MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6759684
Fresh000
Picked011
Done000
Total67510685
Accuracy
100.0%
Counts
685 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.8%
(*.f64 (fma.f64 x (*.f64 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 (sinh.f64 y) y))
▶64.8%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
87.1%
(*.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)))
91.7%
(*.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)))
▶74.9%
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶99.9%
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
63.9%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
▶54.1%
(cos.f64 x)
Compiler

Compiled 241 to 166 computations (31.1% saved)

simplify335.0ms (2.7%)

Memory
9.5MiB live, 626.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(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))
✓cost-diff0
(*.f64 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)))
✓cost-diff0
(fma.f64 x (*.f64 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))
✓cost-diff0
(*.f64 (fma.f64 x (*.f64 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 (sinh.f64 y) y))
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(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) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
Rules
8 356×accelerator-lowering-fma.f32
8 356×accelerator-lowering-fma.f64
4 740×*-lowering-*.f32
4 740×*-lowering-*.f64
1 836×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031192
189184
2229184
3708184
42241184
55609184
08221168
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (cos x) (* (/ 1 y) (sinh y)))
(cos x)
x
(* (/ 1 y) (sinh y))
(/ 1 y)
1
y
(sinh y)
(cos x)
x
(* (cos x) (+ (* 1/6 (* y y)) 1))
(cos x)
x
(+ (* 1/6 (* y y)) 1)
1/6
(* y y)
y
1
(* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))
(+ (* -1/2 (* x x)) 1)
-1/2
(* x x)
x
1
(/ (sinh y) y)
(sinh y)
y
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))
(+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1)
x
(* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)
(* x (+ (* x (* x -1/720)) 1/24))
(+ (* x (* x -1/720)) 1/24)
(* x -1/720)
-1/720
1/24
-1/2
1
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (cos x) (* (/ 1 y) (sinh y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos x)
(cos.f64 x)
x
(* (/ 1 y) (sinh y))
(/.f64 (sinh.f64 y) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(sinh y)
(sinh.f64 y)
(cos x)
(cos.f64 x)
x
(* (cos x) (+ (* 1/6 (* y y)) 1))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(cos x)
(cos.f64 x)
x
(+ (* 1/6 (* y y)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
1
#s(literal 1 binary64)
(* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))
(/.f64 (*.f64 (sinh.f64 y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)
(+ (* -1/2 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (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)))
(+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1)
(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))
x
(* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))
(*.f64 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)))
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)
(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))
(* x (+ (* x (* x -1/720)) 1/24))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(+ (* x (* x -1/720)) 1/24)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* x -1/720)
(*.f64 x #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize122.0ms (1%)

Memory
-6.1MiB live, 299.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(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))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal -1/720 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
Samples
82.0ms256×0valid
Compiler

Compiled 174 to 33 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 28.0ms (47.4% of total)
const: 12.0ms (20.3% of total)
ival-cos: 7.0ms (11.9% of total)
ival-add: 6.0ms (10.2% of total)
ival-div: 4.0ms (6.8% of total)
ival-sinh: 3.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
33.2MiB live, 69.1MiB allocated
Counts
19 → 276
Calls
Call 1
Inputs
#<alt (* (/ 1 y) (sinh y))>
#<alt (* (cos x) (* (/ 1 y) (sinh y)))>
#<alt (cos x)>
#<alt (/ 1 y)>
#<alt (* (cos x) (+ (* 1/6 (* y y)) 1))>
#<alt (+ (* 1/6 (* y y)) 1)>
#<alt (* y y)>
#<alt (* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))>
#<alt (+ (* -1/2 (* x x)) 1)>
#<alt (* x x)>
#<alt (/ (sinh y) y)>
#<alt (* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))>
#<alt (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1)>
#<alt (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))>
#<alt (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)>
#<alt (sinh y)>
#<alt (* x -1/720)>
#<alt (* x (+ (* x (* x -1/720)) 1/24))>
#<alt (+ (* x (* x -1/720)) 1/24)>
Outputs
#<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 (* 1/2 (/ (- (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 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (* 1/6 (* (pow y 2) (cos x)))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* 1/6 (* (pow y 2) (cos x)))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<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))))>
#<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)>
#<alt (pow y 2)>
#<alt (pow y 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 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 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 (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<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>
#<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 (* 1/2 (/ (- (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 (* -1/1440 (/ (* (pow x 6) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 6) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))))>
#<alt (* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (+ (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 6) y)))))))>
#<alt (* -1/1440 (/ (* (pow x 6) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 6) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))))>
#<alt (* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (+ (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 6) y)))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))>
#<alt (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* 1/120 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (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 (* -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 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* -1/720 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))>
#<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 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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 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))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))
1.0ms
y
@inf
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))
1.0ms
y
@-inf
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))
1.0ms
y
@inf
(* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))
1.0ms
y
@0
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))

rewrite939.0ms (7.5%)

Memory
-28.0MiB live, 922.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 378×accelerator-lowering-fma.f32
9 378×accelerator-lowering-fma.f64
5 262×*-lowering-*.f32
5 262×*-lowering-*.f64
3 330×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031154
1165154
21303154
08851138
Stop Event
1×iter limit
1×node limit
Counts
19 → 914
Calls
Call 1
Inputs
(* (/ 1 y) (sinh y))
(* (cos x) (* (/ 1 y) (sinh y)))
(cos x)
(/ 1 y)
(* (cos x) (+ (* 1/6 (* y y)) 1))
(+ (* 1/6 (* y y)) 1)
(* y y)
(* (+ (* -1/2 (* x x)) 1) (/ (sinh y) y))
(+ (* -1/2 (* x x)) 1)
(* x x)
(/ (sinh y) y)
(* (+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1) (/ (sinh y) y))
(+ (* x (* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))) 1)
(* x (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2))
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)
(sinh y)
(* x -1/720)
(* x (+ (* x (* x -1/720)) 1/24))
(+ (* x (* x -1/720)) 1/24)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64)) y))
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sinh.f64 y)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal -2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sinh.f64 y) #s(literal 1 binary64)))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sinh.f64 y) (cos.f64 x))))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)) (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) y))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (cos.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (cos.f64 x))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (cos.f64 x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y)))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (cos.f64 x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sinh.f64 y) (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) 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 (cos.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (cos.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (cos.f64 x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (cos.f64 x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (cos.f64 x) (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)) (*.f64 y y) (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (*.f64 y y)) #s(literal 1/6 binary64) (cos.f64 x))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)) y) y (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) y) (*.f64 y #s(literal 1/6 binary64)) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (cos.f64 x))))
(/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (cos.f64 x)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
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(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal -1/576 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 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 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 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 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal -1/576 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
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(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 x (*.f64 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))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (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 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (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 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (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 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) (*.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 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x)) (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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 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) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 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) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #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 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))

simplify606.0ms (4.8%)

Memory
26.5MiB live, 1 158.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 572×accelerator-lowering-fma.f32
16 572×accelerator-lowering-fma.f64
5 932×+-lowering-+.f64
5 932×+-lowering-+.f32
5 214×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02243460
17143356
225123071
373603063
082592871
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (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
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(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
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(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
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(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(* 1/6 (* (pow y 2) (cos x)))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* 1/6 (* (pow y 2) (cos x)))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
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(* 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))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 (/ (- (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)))
(+ (* -1/4 (/ (* (pow x 2) (- (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)))
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
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(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))
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(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(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)
(pow x 2)
1
(+ 1 (* 1/6 (pow y 2)))
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(+ 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))
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(* 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))
(+ (* -1/4 (/ (* (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)))))))
(* -1/1440 (/ (* (pow x 6) (- (exp y) (/ 1 (exp y)))) y))
(* (pow x 6) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))))
(* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (+ (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 6) y)))))))
(* -1/1440 (/ (* (pow x 6) (- (exp y) (/ 1 (exp y)))) y))
(* (pow x 6) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))))
(* (pow x 6) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 4) y))) (+ (* -1/1440 (/ (- (exp y) (/ 1 (exp y))) y)) (+ (* 1/48 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 6) y)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))
(+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* 1/120 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (- (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)))
(* -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 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* -1/720 (pow x 5))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 5))
(* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
-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)))))
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)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 (*.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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y))) y) (fma.f64 (*.f64 x x) #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)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 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 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (*.f64 x x)) y) (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) y) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 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)))))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/2 binary64) y)) (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 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 (*.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 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (cos.f64 x))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
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(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x 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))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* -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))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))

eval192.0ms (1.5%)

Memory
31.5MiB live, 472.9MiB allocated
Compiler

Compiled 38 507 to 2 987 computations (92.2% saved)

prune190.0ms (1.5%)

Memory
-29.1MiB live, 490.9MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1 331181 349
Fresh134
Picked235
Done011
Total1 334251 359
Accuracy
100.0%
Counts
1 359 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶39.1%
(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))
35.0%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
34.9%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶36.3%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
45.3%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
64.8%
(/.f64 (*.f64 (sinh.f64 y) (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))) y)
50.2%
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
46.1%
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
59.8%
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
56.4%
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
59.5%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
56.1%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
49.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
61.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
▶99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
87.1%
(*.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)))
91.7%
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓74.9%
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
66.0%
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
✓100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓99.9%
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
▶63.9%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
✓54.1%
(cos.f64 x)
▶31.3%
#s(literal 1 binary64)
Compiler

Compiled 851 to 525 computations (38.3% saved)

simplify455.0ms (3.6%)

Memory
-10.5MiB live, 745.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff320
(*.f64 #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
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff704
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(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))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(/.f64 (cos.f64 x) y)
✓cost-diff0
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
Rules
14 012×accelerator-lowering-fma.f32
14 012×accelerator-lowering-fma.f64
3 682×*-lowering-*.f32
3 682×*-lowering-*.f64
2 586×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032180
193180
2261174
3759174
42026174
53971174
66452174
77427174
08106157
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (cos x) y) (sinh y))
(/ (cos x) y)
(cos x)
x
y
(sinh y)
1
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(* x x)
x
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(* x (+ (* (* x x) -1/720) 1/24))
(+ (* (* x x) -1/720) 1/24)
-1/720
1/24
-1/2
1
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
1/6
(* y y)
y
(+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1)
(+ (* 1/6 (* y y)) 1)
1
(* x (* x (+ (* x (* x 1/24)) -1/2)))
x
(* x (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
(* x 1/24)
1/24
-1/2
(* 1 (/ (sinh y) y))
1
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (/ (cos x) y) (sinh y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/ (cos x) y)
(/.f64 (cos.f64 x) y)
(cos x)
(cos.f64 x)
x
y
(sinh y)
(sinh.f64 y)
1
#s(literal 1 binary64)
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(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))
(* x x)
(*.f64 x x)
x
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(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))
(* x (+ (* (* x x) -1/720) 1/24))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(+ (* (* x x) -1/720) 1/24)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 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)))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ (* 1/6 (* y y)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (* x (+ (* x (* x 1/24)) -1/2)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
x
(* x (+ (* x (* x 1/24)) -1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* x (* x 1/24)) -1/2)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(* 1 (/ (sinh y) y))
(/.f64 (sinh.f64 y) y)
1
#s(literal 1 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize114.0ms (0.9%)

Memory
0.1MiB live, 241.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(sinh.f64 y)
✓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))
✓accuracy98.0%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓accuracy92.8%
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
✓accuracy100.0%
(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))
✓accuracy99.9%
(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))
✓accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy99.8%
(/.f64 (cos.f64 x) y)
✓accuracy99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
Samples
75.0ms256×0valid
Compiler

Compiled 166 to 34 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 26.0ms (45.5% of total)
const: 11.0ms (19.3% of total)
ival-add: 8.0ms (14% of total)
ival-cos: 6.0ms (10.5% of total)
ival-div: 4.0ms (7% of total)
ival-sinh: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-5.1MiB live, 36.3MiB allocated
Counts
16 → 240
Calls
Call 1
Inputs
#<alt (* (/ (cos x) y) (sinh y))>
#<alt (/ (cos x) y)>
#<alt (cos x)>
#<alt (sinh y)>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)>
#<alt (* x x)>
#<alt (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)>
#<alt (* x (+ (* (* x x) -1/720) 1/24))>
#<alt (+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))>
#<alt (* y y)>
#<alt (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1)>
#<alt (+ (* 1/6 (* y y)) 1)>
#<alt (* 1 (/ (sinh y) y))>
#<alt (/ (sinh y) y)>
#<alt (+ (* (* x x) -1/720) 1/24)>
#<alt (* x 1/24)>
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 y)>
#<alt (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) 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 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>
#<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>
#<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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (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)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (+ 1 (+ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (+ 1 (+ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<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)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))>
#<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))))>
#<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 (* (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>
#<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 (* 1/24 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)>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+ (* 1/6 (* y y)) 1)
1.0ms
y
@0
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
1.0ms
x
@inf
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
1.0ms
y
@inf
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
0.0ms
y
@inf
(/ (cos x) y)

rewrite542.0ms (4.3%)

Memory
38.3MiB live, 825.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 746×accelerator-lowering-fma.f32
8 746×accelerator-lowering-fma.f64
4 150×*-lowering-*.f32
4 150×*-lowering-*.f64
4 038×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032135
1187135
21530135
08315120
Stop Event
1×iter limit
1×node limit
Counts
16 → 606
Calls
Call 1
Inputs
(* (/ (cos x) y) (sinh y))
(/ (cos x) y)
(cos x)
(sinh y)
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(* x x)
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(* x (+ (* (* x x) -1/720) 1/24))
(+ (* 1/6 (* y y)) (+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1))
(* y y)
(+ (* (+ (* 1/6 (* y y)) 1) (* x (* x (+ (* x (* x 1/24)) -1/2)))) 1)
(+ (* 1/6 (* y y)) 1)
(* 1 (/ (sinh y) y))
(/ (sinh y) y)
(+ (* (* x x) -1/720) 1/24)
(* x 1/24)
Outputs
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64)) (/.f64 y (cos.f64 x))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) #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 #s(literal 2 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cos.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (sinh.f64 y)))) y)
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 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) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 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) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify460.0ms (3.7%)

Memory
-20.0MiB live, 745.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 318×accelerator-lowering-fma.f32
9 318×accelerator-lowering-fma.f64
4 758×*-lowering-*.f32
4 758×*-lowering-*.f64
2 642×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812892
15412825
217202517
346732441
468442441
081292242
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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 y)
(+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) 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)
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
(+ 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
(- (* 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)))))
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (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)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(+ 1 (+ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(+ 1 (+ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(* (pow y 2) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2)))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
1
(+ 1 (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (/ 1 (pow x 4)))))
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
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (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
(+ 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))
(* 1/24 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)
Outputs
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) y)
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))
(* 1/24 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))

eval150.0ms (1.2%)

Memory
-4.4MiB live, 310.9MiB allocated
Compiler

Compiled 31 880 to 1 977 computations (93.8% saved)

prune117.0ms (0.9%)

Memory
-4.0MiB live, 353.8MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New9089917
Fresh41216
Picked325
Done044
Total91527942
Accuracy
100.0%
Counts
942 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
35.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
39.1%
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
34.9%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
57.8%
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
53.7%
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
45.3%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
▶45.3%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
64.8%
(/.f64 (*.f64 (sinh.f64 y) (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))) y)
▶63.9%
(/.f64 (sinh.f64 y) y)
▶50.2%
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
46.1%
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
59.8%
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
56.4%
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
56.1%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
▶49.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
81.0%
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
87.1%
(*.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)))
▶91.7%
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓74.9%
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
66.0%
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
✓100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓99.9%
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
59.9%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
✓54.1%
(cos.f64 x)
✓31.3%
#s(literal 1 binary64)
Compiler

Compiled 829 to 514 computations (38% saved)

simplify597.0ms (4.7%)

Memory
27.5MiB live, 766.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff0
(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))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(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))
✓cost-diff0
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓cost-diff0
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Rules
13 638×accelerator-lowering-fma.f32
13 638×accelerator-lowering-fma.f64
3 660×*-lowering-*.f32
3 660×*-lowering-*.f64
2 592×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035242
1118242
2371242
31191242
43727242
53936242
64330242
74593242
84989242
95786242
107182242
08100214
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
(cos x)
x
(+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1)
y
(* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))
(+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6)
(* y y)
(+ (* (* y y) 1/5040) 1/120)
1/5040
1/120
1/6
1
(+ (* 1/6 (* y y)) 1)
1/6
(* y y)
y
1
(* (+ (* -1/2 (* x x)) 1) (+ (* 1/6 (* y y)) 1))
(+ (* -1/2 (* x x)) 1)
-1/2
(* x x)
x
1
(+ (* 1/6 (* y y)) 1)
1/6
(* y y)
y
(* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(* x x)
x
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(* x (+ (* (* x x) -1/720) 1/24))
(+ (* (* x x) -1/720) 1/24)
-1/720
1/24
-1/2
1
(+ (* 1/6 (* y y)) 1)
1/6
(* y y)
y
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(cos x)
(cos.f64 x)
x
(+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))
(*.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) (+ (* (* y y) 1/5040) 1/120)) 1/6)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* y y)
(*.f64 y y)
(+ (* (* y y) 1/5040) 1/120)
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(+ (* 1/6 (* y y)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
1
#s(literal 1 binary64)
(* (+ (* -1/2 (* x x)) 1) (+ (* 1/6 (* y y)) 1))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* -1/2 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(+ (* 1/6 (* y y)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 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)))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(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))
(* x x)
(*.f64 x x)
x
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(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))
(* x (+ (* (* x x) -1/720) 1/24))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(+ (* (* x x) -1/720) 1/24)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/6 (* y y)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize195.0ms (1.5%)

Memory
22.5MiB live, 331.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy99.9%
(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))
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.8%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy99.9%
(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))
✓accuracy99.7%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
Samples
92.0ms256×0valid
Compiler

Compiled 216 to 37 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 25.0ms (35.3% of total)
const: 14.0ms (19.7% of total)
ival-sinh: 14.0ms (19.7% of total)
ival-add: 9.0ms (12.7% of total)
ival-cos: 6.0ms (8.5% of total)
ival-div: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
8.5MiB live, 53.0MiB allocated
Counts
18 → 252
Calls
Call 1
Inputs
#<alt (* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))>
#<alt (cos x)>
#<alt (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1)>
#<alt (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))>
#<alt (+ (* 1/6 (* y y)) 1)>
#<alt (* y y)>
#<alt (* (+ (* -1/2 (* x x)) 1) (+ (* 1/6 (* y y)) 1))>
#<alt (+ (* -1/2 (* x x)) 1)>
#<alt (* x x)>
#<alt (* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)>
#<alt (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)>
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
#<alt (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6)>
#<alt (+ (* (* y y) 1/5040) 1/120)>
#<alt (+ (* (* x x) -1/720) 1/24)>
#<alt (* x (+ (* (* x x) -1/720) 1/24))>
Outputs
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<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 (* 1/5040 (* (pow y 6) (cos x)))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))>
#<alt (* 1/5040 (* (pow y 6) (cos x)))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))>
#<alt (* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))>
#<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 (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<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))))>
#<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)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<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 (* 1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))>
#<alt (* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))>
#<alt (* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))>
#<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>
#<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 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 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<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>
#<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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
Calls

63 calls:

TimeVariablePointExpression
15.0ms
y
@inf
(* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))
1.0ms
x
@inf
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
1.0ms
x
@0
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
1.0ms
y
@inf
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
0.0ms
y
@inf
(* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1))

rewrite522.0ms (4.2%)

Memory
-67.0MiB live, 1 058.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 574×accelerator-lowering-fma.f32
5 574×accelerator-lowering-fma.f64
4 066×/-lowering-/.f32
4 066×/-lowering-/.f64
3 928×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035194
1225194
21932194
08108168
Stop Event
1×iter limit
1×node limit
Counts
18 → 796
Calls
Call 1
Inputs
(* (cos x) (+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1))
(cos x)
(+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1)
(* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))
(+ (* 1/6 (* y y)) 1)
(* y y)
(* (+ (* -1/2 (* x x)) 1) (+ (* 1/6 (* y y)) 1))
(+ (* -1/2 (* x x)) 1)
(* x x)
(* (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1) (+ (* 1/6 (* y y)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)) 1)
(+ (* x (* x (+ (* (* x x) -1/720) 1/24))) -1/2)
(/ (sinh y) y)
(sinh y)
(+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6)
(+ (* (* y y) 1/5040) 1/120)
(+ (* (* x x) -1/720) 1/24)
(* x (+ (* (* x x) -1/720) 1/24))
Outputs
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 (*.f64 y 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))) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(fma.f64 y (*.f64 (*.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))) (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 y y) (*.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)) (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 y (cos.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 (*.f64 y 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))) (cos.f64 x) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 (cos.f64 x) 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))) (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (*.f64 y 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)) (cos.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (*.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 (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (cos.f64 x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.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 (*.f64 y 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)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y 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)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.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 (*.f64 y 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)) (cos.f64 x)) (-.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y 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)) (cos.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 y 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)))) (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.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 (*.f64 y 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)))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.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 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.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 (*.f64 y 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)))) (neg.f64 (fma.f64 (*.f64 y 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))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(/.f64 (-.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 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 x (*.f64 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))))
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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 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 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) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #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 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) x (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))) (*.f64 x (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) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 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)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) x)

simplify944.0ms (7.5%)

Memory
13.0MiB live, 999.3MiB allocated
Algorithm
1×egg-herbie
Rules
24 652×accelerator-lowering-fma.f32
24 652×accelerator-lowering-fma.f64
6 684×+-lowering-+.f64
6 684×+-lowering-+.f32
4 542×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293535
17633391
225643114
373002948
081222699
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(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)))))))
(* 1/5040 (* (pow y 6) (cos x)))
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))
(* 1/5040 (* (pow y 6) (cos x)))
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))
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)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 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))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
(* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))
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))
(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 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))
(* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))
(* -1/720 (* (pow x 6) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 6) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))
(* (pow x 6) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
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
(- (* 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))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (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
(+ 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))
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
Outputs
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y 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 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y 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 (+ (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/24 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 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) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/24 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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)))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* (cos x) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(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 y (*.f64 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 (fma.f64 (*.f64 y 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)) (cos.f64 x))
(* 1/5040 (* (pow y 6) (cos x)))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (cos.f64 x) (pow.f64 y #s(literal 6 binary64)))))
(* 1/5040 (* (pow y 6) (cos x)))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (* 1/120 (/ (cos x) (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (* 1/6 (/ (cos x) (pow y 4))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))
(* (pow y 6) (+ (* 1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow y 2))) (+ (* 1/6 (/ (cos x) (pow y 4))) (/ (cos x) (pow y 6))))))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (cos.f64 x) (pow.f64 y #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
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(fma.f64 (*.f64 y y) (fma.f64 (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 x (/.f64 x (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
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(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
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(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 (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 x (/.f64 x (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)))
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(* -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)))))
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(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
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(* -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 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
-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 x (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
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(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
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(* -1/720 (pow x 4))
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(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
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(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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y
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(* 1/2 (- (exp y) (/ 1 (exp y))))
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1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
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(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
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(* 1/5040 (pow y 4))
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(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
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(* 1/5040 (pow y 4))
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(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
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(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
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1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow y 2)))
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(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x 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))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -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))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))))

eval413.0ms (3.3%)

Memory
-0.3MiB live, 315.0MiB allocated
Compiler

Compiled 63 690 to 3 026 computations (95.2% saved)

prune341.0ms (2.7%)

Memory
12.4MiB live, 324.3MiB allocated
Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New1 230141 244
Fresh41216
Picked145
Done066
Total1 235361 271
Accuracy
100.0%
Counts
1 271 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(fma.f64 (*.f64 y 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))
45.3%
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
40.2%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
35.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
39.1%
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
34.9%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
57.8%
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
30.1%
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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)))
53.7%
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓45.3%
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
40.2%
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
43.8%
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
64.8%
(/.f64 (*.f64 (sinh.f64 y) (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))) y)
59.9%
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
✓63.9%
(/.f64 (sinh.f64 y) y)
56.0%
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
59.8%
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
24.5%
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
46.1%
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
50.1%
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
56.4%
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
56.1%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓49.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
81.0%
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
24.2%
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
87.1%
(*.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)))
✓91.7%
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓74.9%
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
66.0%
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
✓100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓99.9%
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
17.3%
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
13.3%
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
✓54.1%
(cos.f64 x)
✓31.3%
#s(literal 1 binary64)
Compiler

Compiled 1 484 to 525 computations (64.6% saved)

regimes207.0ms (1.7%)

Memory
18.0MiB live, 134.3MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.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)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.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)))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 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 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (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))) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

64.0ms
x
62.0ms
(cos.f64 x)
53.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
y
11.0ms
(/.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)

regimes84.0ms (0.7%)

Memory
-48.8MiB live, 141.2MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.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)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.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)))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 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 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (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))) y)
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.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)))
(/.f64 (sinh.f64 y) y)
Calls

5 calls:

22.0ms
(/.f64 (sinh.f64 y) y)
17.0ms
x
15.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms
y
13.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
96.7%2x
98.5%3y
99.6%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
96.7%2(cos.f64 x)
91.7%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes15.0ms (0.1%)

Memory
-5.8MiB live, 35.2MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.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)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.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)))
(/.f64 (sinh.f64 y) y)
Calls

1 calls:

11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.5%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
30.5MiB live, 30.5MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (sinh.f64 y) y)
Calls

1 calls:

10.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.5%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-0.7MiB live, 37.4MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
Calls

1 calls:

12.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
99.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes51.0ms (0.4%)

Memory
-20.3MiB live, 133.3MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(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))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 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)))
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(cos.f64 x)
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
Calls

4 calls:

15.0ms
x
12.0ms
y
11.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
81.1%4(cos.f64 x)
74.9%2x
86.6%2y
95.3%3(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes58.0ms (0.5%)

Memory
21.4MiB live, 134.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
Outputs
(*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
Calls

5 calls:

16.0ms
x
12.0ms
y
10.0ms
(cos.f64 x)
9.0ms
(/.f64 (sinh.f64 y) y)
9.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
63.5%2x
73.0%2(cos.f64 x)
64.2%2y
64.2%2(/.f64 (sinh.f64 y) y)
73.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes19.0ms (0.1%)

Memory
7.5MiB live, 44.6MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
Outputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
Calls

2 calls:

10.0ms
(cos.f64 x)
7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
72.8%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
72.8%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes16.0ms (0.1%)

Memory
10.0MiB live, 47.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
Calls

2 calls:

9.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
70.7%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes18.0ms (0.1%)

Memory
11.0MiB live, 44.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (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 y (*.f64 y #s(literal 1/6 binary64))))
Outputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.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))
Calls

2 calls:

11.0ms
(cos.f64 x)
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.7%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
70.7%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory
-15.7MiB live, 33.6MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(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 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
Calls

2 calls:

14.0ms
(cos.f64 x)
5.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.0%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
70.0%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes11.0ms (0.1%)

Memory
-7.9MiB live, 30.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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))
Calls

2 calls:

6.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
65.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
65.9%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes13.0ms (0.1%)

Memory
-1.9MiB live, 32.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 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))
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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))
Calls

2 calls:

8.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
65.9%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
65.9%2(cos.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes17.0ms (0.1%)

Memory
11.6MiB live, 51.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Calls

5 calls:

4.0ms
y
3.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
50.4%2x
52.5%2(/.f64 (sinh.f64 y) y)
52.5%2y
57.4%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
57.4%2(cos.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes16.0ms (0.1%)

Memory
-7.2MiB live, 35.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Calls

4 calls:

8.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
45.3%1(/.f64 (sinh.f64 y) y)
48.9%3y
52.3%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
52.3%2(cos.f64 x)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory
-14.0MiB live, 25.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Calls

4 calls:

3.0ms
y
2.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
45.3%1y
45.3%1x
45.3%1(cos.f64 x)
45.3%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
Outputs
#s(literal 1 binary64)
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
Calls

5 calls:

2.0ms
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
45.2%2y
45.2%2(/.f64 (sinh.f64 y) y)
45.2%2(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
33.5%2x
33.9%2(cos.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory
-17.1MiB live, 22.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

5 calls:

2.0ms
y
1.0ms
x
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
31.3%1x
31.3%1(cos.f64 x)
31.3%1y
31.3%1(/.f64 (sinh.f64 y) y)
31.3%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999889
1.0
0.0ms
-inf
-0.9995741762456197
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999889
1.0
0.0ms
-inf
-0.9995741762456197
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999889
1.0
0.0ms
-inf
-0.9995741762456197
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999889
1.0
0.0ms
-inf
-0.9995741762456197
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999889
1.0
0.0ms
-inf
-0.9995741762456197
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.007157514161464702
0.02648747247421428
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.007157514161464702
0.02648747247421428
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.007157514161464702
0.02648747247421428
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.007157514161464702
0.02648747247421428
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
-0.007157514161464702
0.02648747247421428
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
-0.007157514161464702
0.02648747247421428
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
-0.007157514161464702
0.02648747247421428
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
-0.007157514161464702
0.02648747247421428
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
-0.007157514161464702
0.08428319386888485
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
1.0000095889422846
6.486985456963553
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify13.0ms (0.1%)

Memory
-1.9MiB live, 37.8MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086668
1112668
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 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (*.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))) (/.f64 (sinh.f64 y) y)))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (*.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))) (/.f64 (sinh.f64 y) y)))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (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 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (cos.f64 x) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 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 y y) #s(literal 1 binary64))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
#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 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (*.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))) (/.f64 (sinh.f64 y) y)))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (*.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))) (/.f64 (sinh.f64 y) y)))
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(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (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 (fma.f64 x (*.f64 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 y (*.f64 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 2251799813685223/2251799813685248 binary64)) (cos.f64 x) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 x (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
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(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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)))
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/1152921504606846976 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/1152921504606846976 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 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 y y) #s(literal 1 binary64))
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
#s(literal 1 binary64)

soundness1.5s (11.6%)

Memory
-4.7MiB live, 1 284.3MiB allocated
Rules
24 652×accelerator-lowering-fma.f32
24 652×accelerator-lowering-fma.f64
16 572×accelerator-lowering-fma.f32
16 572×accelerator-lowering-fma.f64
14 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032135
1187135
21530135
08315120
02293535
17633391
225643114
373002948
081222699
02243460
17143356
225123071
373603063
082592871
084686
1241679
2745635
32422627
45291623
57981623
08405593
01812892
15412825
217202517
346732441
468442441
081292242
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
1×iter limit
1×node limit
Compiler

Compiled 1 537 to 673 computations (56.2% saved)

preprocess103.0ms (0.8%)

Memory
1.6MiB live, 199.6MiB allocated
Remove

(abs y)

(abs x)

Compiler

Compiled 1 430 to 232 computations (83.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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