Linear.Quaternion:$ctan from linear-1.19.1.3

Time bar (total: 11.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze102.0ms (0.9%)

Memory
12.5MiB live, 89.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.5s (13%)

Memory
-8.5MiB live, 870.9MiB allocated
Samples
817.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 473.0ms
ival-div: 282.0ms (59.7% of total)
ival-cosh: 105.0ms (22.2% of total)
ival-mult: 76.0ms (16.1% of total)
ival-true: 7.0ms (1.5% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain78.0ms (0.7%)

Memory
9.3MiB live, 168.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-0-(*.f64 (cosh.f64 x) (/.f64 y x))
100-0-(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
00-0-(/.f64 y x)
00-0-y
00-0-(cosh.f64 x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (cosh.f64 x) (/.f64 y x))o*u300
(cosh.f64 x)overflow134
(/.f64 y x)underflow30
/.f64(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)o/n100
(cosh.f64 x)overflow134
(/.f64 y x)overflow26
(*.f64 (cosh.f64 x) (/.f64 y x))overflow160
Confusion
Predicted +Predicted -
+400
-0216
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4000
-00216
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0216
140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (42.2% of total)
ival-cosh: 6.0ms (36.2% of total)
ival-mult: 3.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (1.1%)

Memory
-24.6MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Rules
644×lower-*.f32
643×lower-*.f64
584×neg-sub0
582×times-frac
387×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03187
110675
233675
3123175
4425575
5756275
078
0118
1228
2458
3948
41918
52998
64878
710618
822068
925988
1027998
1128108
1228108
1328478
1428528
1528548
1628598
1728598
028598
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y)
Symmetry

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.5%
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify78.0ms (0.7%)

Memory
21.7MiB live, 60.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 y x))
cost-diff384
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Rules
644×lower-*.f32
643×lower-*.f64
582×times-frac
382×lower-fma.f64
382×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01122
12222
24522
39422
419122
529922
648722
7106122
8220622
9259822
10279922
11281022
12281022
13284722
14285222
15285422
16285922
17285922
0285922
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z
Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y)
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(cosh.f64 x)
x
(/.f64 y x)
y
z

localize39.0ms (0.3%)

Memory
-18.1MiB live, 62.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(cosh.f64 x)
accuracy2.4042067252671715
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
accuracy5.98046875
(*.f64 (cosh.f64 x) (/.f64 y x))
Samples
23.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cosh: 9.0ms (65.9% of total)
ival-div: 3.0ms (22% of total)
ival-mult: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
2.7MiB live, 40.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (patch (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 1/2 (* (pow x 2) y))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 y x)) (patch (*.f64 (cosh.f64 x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/ (* (cosh x) (/ y x)) z)
3.0ms
x
@-inf
(/ (* (cosh x) (/ y x)) z)
2.0ms
y
@-inf
(/ (* (cosh x) (/ y x)) z)
2.0ms
x
@inf
(/ (* (cosh x) (/ y x)) z)
2.0ms
y
@0
(/ (* (cosh x) (/ y x)) z)

simplify208.0ms (1.8%)

Memory
19.7MiB live, 260.2MiB allocated
Algorithm
egg-herbie
Rules
7 842×lower-fma.f64
7 842×lower-fma.f32
2 710×lower-*.f64
2 710×lower-*.f32
1 012×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0701004
12011000
2599988
31416982
42110982
52777980
63318980
74807976
85464976
95934976
106466976
117754976
08037958
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite181.0ms (1.5%)

Memory
-31.7MiB live, 207.6MiB allocated
Rules
1 705×lower-/.f32
1 703×lower-/.f64
1 662×lower-*.f32
1 661×lower-*.f64
552×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01119
13619
220819
3216119
0857119
Stop Event
iter limit
node limit
iter limit
Counts
4 → 385
Calls
Call 1
Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
(/.f64 y x)
Outputs
(*.f64 (pow.f64 (neg.f64 (*.f64 z (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (*.f64 z (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) z) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (cosh.f64 x) x))
(*.f64 (pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z)))
(*.f64 (*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) z))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(*.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x))))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z)))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x))))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(*.f64 (*.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 (/.f64 (/.f64 (cosh.f64 x) x) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) x) (cosh.f64 x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 (neg.f64 z) x))))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) z))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cosh.f64 x) z)))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) z)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z x))))
(*.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 z x))))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (cosh.f64 x)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 z x) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)))) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) (*.f64 z x)) (cosh.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) z)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) x) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) (cosh.f64 x)))) (*.f64 (neg.f64 z) (*.f64 z x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 (neg.f64 z) (*.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) (cosh.f64 x)))) (*.f64 (neg.f64 z) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y))) (*.f64 (neg.f64 z) (*.f64 z (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x))) (*.f64 (neg.f64 z) (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)))) (*.f64 (neg.f64 z) (*.f64 z (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (*.f64 y (cosh.f64 x)))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
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(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (cosh.f64 x))))
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(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x))
(/.f64 y (/.f64 x (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (cosh.f64 x))) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cosh.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(-.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y)))
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(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval48.0ms (0.4%)

Memory
28.1MiB live, 100.0MiB allocated
Compiler

Compiled 6 745 to 1 068 computations (84.2% saved)

prune268.0ms (2.3%)

Memory
-175.9MiB live, 167.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46615481
Fresh000
Picked101
Done000
Total46715482
Accuracy
99.6%
Counts
482 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
76.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
70.2%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
96.8%
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
76.7%
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
68.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
48.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
91.7%
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
87.4%
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
76.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
74.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
68.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
Compiler

Compiled 498 to 298 computations (40.2% saved)

simplify168.0ms (1.4%)

Memory
-3.0MiB live, 146.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y)
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y)
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
cost-diff0
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
cost-diff0
(*.f64 z x)
cost-diff0
(/.f64 y (*.f64 z x))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) z)
cost-diff0
(*.f64 y (/.f64 (cosh.f64 x) z))
cost-diff384
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
Rules
4 371×lower-fma.f32
4 365×lower-fma.f64
1 613×lower-*.f32
1 603×lower-*.f64
841×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040355
071355
1120355
2207355
3463355
41105355
52032355
62291355
72903355
83850355
94474355
104932355
115086355
125282355
136990355
08183355
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 y (/.f64 (cosh.f64 x) z))
y
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 y x)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
y
z
Outputs
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(*.f64 y (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 y z) (cosh.f64 x))
y
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
x
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(/.f64 y x)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (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 y x))) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x))
#s(approx (* (cosh x) (/ y x)) (*.f64 (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 y x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
(*.f64 (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 y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y)
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x)
(*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
y
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x))
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y)
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x)
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) y)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
y
z

localize145.0ms (1.2%)

Memory
-7.5MiB live, 234.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.3882145356312763
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
accuracy2.4042067252671715
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
accuracy2.6201962832106296
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
accuracy8.007741758516191
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x))
accuracy2.4042067252671715
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
accuracy2.5910482289931207
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
accuracy3.5654798847398657
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)
accuracy12.59346433890647
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x))
accuracy0
(/.f64 y x)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy2.4042067252671715
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
accuracy23.701241980010803
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
accuracy0
(*.f64 z x)
accuracy3.647913029717608
(/.f64 y (*.f64 z x))
accuracy30.587196150253625
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
accuracy0
(cosh.f64 x)
accuracy0.0078125
(/.f64 (cosh.f64 x) z)
accuracy0.30591783641740944
(*.f64 y (/.f64 (cosh.f64 x) z))
accuracy1.7648359688817536
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
Samples
87.0ms256×0valid
Compiler

Compiled 280 to 39 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 26.0ms (38.8% of total)
ival-div: 16.0ms (23.9% of total)
const: 14.0ms (20.9% of total)
ival-add: 7.0ms (10.4% of total)
ival-cosh: 3.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
38.1MiB live, 109.1MiB allocated
Counts
22 → 588
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (cosh.f64 x) z) (patch (/.f64 (cosh.f64 x) z) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) (patch #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) (patch (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf y) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) (taylor 0 x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf x) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor 0 z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) (taylor -inf z) (#s(alt (*.f64 y (/.f64 (cosh.f64 x) z)) (patch (*.f64 y (/.f64 (cosh.f64 x) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/24 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (* (pow x 4) y)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (* (pow x 4) y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x)
3.0ms
y
@inf
(/ y (* z x))
2.0ms
y
@0
(/ (+ (* (* (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) x) x) y) x)
1.0ms
y
@0
(/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x)
1.0ms
y
@inf
(/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x)

simplify244.0ms (2.1%)

Memory
-12.4MiB live, 310.3MiB allocated
Algorithm
egg-herbie
Rules
10 220×lower-fma.f64
10 220×lower-fma.f32
2 472×lower-*.f64
2 472×lower-*.f32
2 237×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977370
16577198
221457050
347846970
085066679
Stop Event
iter limit
node limit
Counts
588 → 586
Calls
Call 1
Inputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/720 (* (pow x 5) y))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (* (pow x 5) y))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
y
(+ y (* 1/2 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* 1/720 (* (pow x 6) y))
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* 1/24 (* (pow x 2) y))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(* 1/2 y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* 1/720 (* (pow x 4) y))
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
Outputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x z) (*.f64 x (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (*.f64 (*.f64 (/.f64 x z) (*.f64 x (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
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(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* 1/24 (* (pow x 2) y))
(*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/24 (* (pow x 2) y))
(*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* 1/720 (* (pow x 4) y))
(*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* 1/720 (* (pow x 4) y))
(*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)

rewrite348.0ms (2.9%)

Memory
7.8MiB live, 362.2MiB allocated
Rules
2 332×lower-fma.f32
2 326×lower-fma.f64
2 240×lower-/.f32
2 231×lower-/.f64
2 011×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040277
071277
1249277
21624277
08233277
Stop Event
iter limit
node limit
iter limit
Counts
22 → 593
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 y (/.f64 (cosh.f64 x) z))
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 y (*.f64 z x))
(*.f64 z x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y)
(/.f64 y x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y)
Outputs
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (*.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (neg.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y)
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (*.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y z) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)))
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))
(*.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(pow.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) z))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (*.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x))
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (neg.f64 z))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(/.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x)
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y)
(*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y)) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y))
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)))

eval189.0ms (1.6%)

Memory
3.4MiB live, 328.7MiB allocated
Compiler

Compiled 29 537 to 2 156 computations (92.7% saved)

prune182.0ms (1.5%)

Memory
-4.9MiB live, 270.6MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 159201 179
Fresh5510
Picked235
Done000
Total1 166281 194
Accuracy
99.6%
Counts
1 194 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
79.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
87.4%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
81.3%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
68.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
56.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
89.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
55.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
90.2%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
35.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
46.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
48.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
43.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
45.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
29.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
53.8%
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
89.5%
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
48.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
76.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
74.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
68.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
Compiler

Compiled 1 168 to 625 computations (46.5% saved)

simplify251.0ms (2.1%)

Memory
5.9MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
cost-diff0
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
cost-diff0
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
cost-diff0
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
cost-diff0
(*.f64 z x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z x))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)
cost-diff0
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
cost-diff384
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Rules
7 857×lower-fma.f32
7 848×lower-fma.f64
2 308×lower-*.f32
2 298×lower-*.f64
1 253×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043472
079474
1153466
2284466
3820466
42358464
54202464
65596464
77173464
87527464
08098462
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
y
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)
(/.f64 #s(literal 1 binary64) (*.f64 z x))
#s(literal 1 binary64)
(*.f64 z x)
z
x
y
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y
Outputs
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
(*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
y
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)
(/.f64 y (*.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 z x))
#s(literal 1 binary64)
(*.f64 z x)
z
x
y
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
(fma.f64 (*.f64 (*.f64 x y) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y

localize222.0ms (1.9%)

Memory
-17.7MiB live, 194.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28430340859438574
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy1.3882145356312763
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
accuracy2.4198317252671715
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
accuracy8.007741758516191
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
accuracy0.14453125
(*.f64 (*.f64 x y) x)
accuracy2.4042067252671715
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
accuracy2.5910482289931207
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
accuracy12.59346433890647
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
accuracy0
(*.f64 x x)
accuracy3.647913029717608
(/.f64 y (*.f64 z x))
accuracy11.078341952269428
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
accuracy21.545695646509216
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
accuracy0
(*.f64 z x)
accuracy0.5828924139496018
(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy3.190372083799104
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)
accuracy30.587196150253625
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
accuracy0.28430340859438574
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.30591783641740944
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
accuracy1.7648359688817536
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
accuracy7.517674873877035
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
Samples
150.0ms256×0valid
Compiler

Compiled 336 to 48 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 53.0ms (41.9% of total)
ival-div: 46.0ms (36.4% of total)
ival-cosh: 11.0ms (8.7% of total)
ival-add: 10.0ms (7.9% of total)
const: 6.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series109.0ms (0.9%)

Memory
-7.2MiB live, 67.1MiB allocated
Counts
24 → 612
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())
#s(alt (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) (patch (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) (patch (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) (patch #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) (patch (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) (patch (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x) #<representation binary64>) () ())) ())
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#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) y) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt 1/24 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/24 (* 1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
Calls

153 calls:

TimeVariablePointExpression
44.0ms
z
@inf
(* (+ (* (* x x) 1/2) 1) (/ y (* z x)))
7.0ms
x
@-inf
(/ 1 (* z x))
1.0ms
y
@0
(* (+ (* (* x x) 1/2) 1) (/ y (* z x)))
1.0ms
z
@0
(* (+ (* (* x x) 1/2) 1) (/ y (* z x)))
1.0ms
x
@inf
(* (+ (* (* x x) 1/2) 1) (/ y (* z x)))

simplify293.0ms (2.5%)

Memory
17.2MiB live, 292.9MiB allocated
Algorithm
egg-herbie
Rules
9 178×lower-fma.f64
9 178×lower-fma.f32
2 649×lower-*.f64
2 649×lower-*.f32
1 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01896856
16156764
220426562
348536516
084106286
Stop Event
iter limit
node limit
Counts
612 → 611
Calls
Call 1
Inputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ 1 z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
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(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) 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) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
Outputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) z) y)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) z) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(*.f64 (/.f64 y z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) z) y))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 x z) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) x) y)
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) y)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 #s(literal 1/720 binary64) y) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/720 (* (pow x 5) y))
(*.f64 (*.f64 #s(literal 1/720 binary64) y) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x))
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
(* (pow x 2) y)
(*.f64 (*.f64 x y) x)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 #s(literal 1/720 binary64) x) x)
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))

rewrite334.0ms (2.8%)

Memory
-1.0MiB live, 199.6MiB allocated
Rules
2 327×lower-/.f32
2 319×lower-/.f64
2 284×lower-fma.f32
2 275×lower-fma.f64
2 055×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043338
079334
1317332
21901332
08377332
Stop Event
iter limit
node limit
iter limit
Counts
24 → 775
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(literal 1 binary64) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(/.f64 y (*.f64 z x))
(*.f64 (*.f64 x y) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
Outputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
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(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x))

eval305.0ms (2.6%)

Memory
25.3MiB live, 290.6MiB allocated
Compiler

Compiled 36 133 to 2 472 computations (93.2% saved)

prune382.0ms (3.2%)

Memory
-33.0MiB live, 431.4MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New1 519141 533
Fresh31720
Picked235
Done033
Total1 524371 561
Accuracy
99.6%
Counts
1 561 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
87.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
79.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
82.3%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
67.8%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
67.8%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
87.4%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
81.3%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
89.7%
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
68.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
56.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
89.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
35.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
46.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
48.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
45.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
43.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
45.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
29.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
53.8%
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
82.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
79.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
48.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
76.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
74.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
71.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
28.6%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
Compiler

Compiled 1 558 to 869 computations (44.2% saved)

simplify216.0ms (1.8%)

Memory
28.9MiB live, 291.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
cost-diff384
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
cost-diff0
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x))
cost-diff0
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))
cost-diff0
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))
cost-diff0
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff384
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff384
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
Rules
7 598×lower-fma.f32
7 593×lower-fma.f64
2 082×lower-*.f32
2 073×lower-*.f64
1 706×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046493
075491
1141491
2263491
3570491
41384491
54057485
66148484
77185484
87629484
97957484
08009477
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
y
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
z
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 y z)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 z x)
z
y
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
y
z
Outputs
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y)
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))) z) y)
y
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 z #s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))))
z
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))
(*.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(/.f64 y z)
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
(*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) (*.f64 x z))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 z x)
(*.f64 x z)
z
y
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(*.f64 (/.f64 y (*.f64 x z)) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 x z))
y
(*.f64 z x)
(*.f64 x z)
z
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z)) y)
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
x
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 y x)
y
z

localize349.0ms (2.9%)

Memory
-25.3MiB live, 449.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.12890625
(*.f64 #s(literal 1/720 binary64) x)
accuracy1.6439588166864179
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy2.4042067252671715
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
accuracy0.015625
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.12890625
(*.f64 #s(literal 1/720 binary64) x)
accuracy1.1853381662609133
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
accuracy1.273043117655823
(/.f64 y (*.f64 z x))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.08984375
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x))
accuracy1.1900091080038815
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
accuracy1.269136867655823
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy1.1900091080038815
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
accuracy2.8874705038822053
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))
accuracy27.340210959853525
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))
accuracy0.1953125
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
accuracy0.23951158641740947
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy1.6439588166864179
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy1.7648359688817536
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
Samples
192.0ms128×2exit
41.0ms127×0valid
6.0ms5exit
Compiler

Compiled 335 to 42 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 55.0ms (51.6% of total)
adjust: 14.0ms (13.1% of total)
ival-div: 13.0ms (12.2% of total)
ival-add: 11.0ms (10.3% of total)
const: 9.0ms (8.4% of total)
ival-cosh: 3.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory
19.5MiB live, 102.0MiB allocated
Counts
22 → 564
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) (patch #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) (patch (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) (patch (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) (patch (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (patch #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (patch (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf y) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) (taylor -inf z) (#s(alt (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) (patch (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/24 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/720 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 z x)) (patch (/.f64 y (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) x) (patch (*.f64 #s(literal 1/720 binary64) x) #<representation binary64>) () ())) ())
Calls

141 calls:

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

simplify206.0ms (1.7%)

Memory
-21.8MiB live, 306.0MiB allocated
Algorithm
egg-herbie
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
3 342×lower-*.f64
3 342×lower-*.f32
1 025×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01976982
16386975
219936729
362056700
082786444
Stop Event
iter limit
node limit
Counts
564 → 563
Calls
Call 1
Inputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y (* x z))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(/ y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
z
(+ z (* -1/2 (* (pow x 2) z)))
(+ z (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))
(+ z (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 z) (* 1/24 z))) (+ (* -1/48 z) (* 1/720 z))))) (+ (* -1/4 z) (* 1/24 z)))) (* 1/2 z))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
1
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(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(/ y x)
(/ (+ y (* 1/2 (* (pow x 2) y))) x)
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp 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) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(* 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)
Outputs
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(/ y (* x z))
(/.f64 y (*.f64 z x))
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)
(*.f64 (/.f64 y (*.f64 z x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)
(/.f64 (fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))) x)
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (/.f64 y (*.f64 z x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z))
(fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z))
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z))
(fma.f64 (*.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 y z)))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 y z))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2 (/ z (+ (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
z
(+ z (* -1/2 (* (pow x 2) z)))
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(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)

rewrite226.0ms (1.9%)

Memory
24.0MiB live, 450.6MiB allocated
Rules
2 443×lower-fma.f32
2 438×lower-fma.f64
2 174×lower-*.f32
2 165×lower-*.f64
2 132×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046361
075359
1284359
21563359
08328359
Stop Event
iter limit
node limit
iter limit
Counts
22 → 983
Calls
Call 1
Inputs
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
(/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y)
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(/.f64 y (*.f64 z x))
(*.f64 #s(literal 1/720 binary64) x)
Outputs
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) z))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))) (/.f64 y z))
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) x))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (neg.f64 z)) x))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) x) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (neg.f64 y) z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) z) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) x) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y x) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) z))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 y z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) x))
(*.f64 (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 x z)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(*.f64 y (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) z) x))
(pow.f64 (*.f64 (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 z) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y)))
(/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 z) x))
(/.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 z) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y)) x))
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) y) (*.f64 x z))
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(pow.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y)))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y))))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x z))))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (*.f64 x z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (/.f64 (neg.f64 y) (*.f64 x z)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))

eval230.0ms (1.9%)

Memory
6.9MiB live, 521.9MiB allocated
Compiler

Compiled 50 784 to 2 724 computations (94.6% saved)

prune530.0ms (4.5%)

Memory
4.0MiB live, 573.6MiB allocated
Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1 691151 706
Fresh32326
Picked325
Done246
Total1 699441 743
Accuracy
99.6%
Counts
1 743 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
91.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
87.5%
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
82.3%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
76.7%
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
67.8%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
91.6%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
87.4%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
81.3%
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
89.7%
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
53.8%
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
68.4%
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
89.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
56.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
89.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
84.6%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
35.5%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
46.1%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
48.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
45.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
43.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
45.8%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
29.7%
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
83.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
82.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
79.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
76.8%
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
48.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
79.6%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
55.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
56.0%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
59.6%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
76.8%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
71.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
50.2%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
29.0%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
74.3%
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
28.2%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
29.0%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
29.7%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
28.6%
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
Compiler

Compiled 2 266 to 814 computations (64.1% saved)

regimes290.0ms (2.4%)

Memory
-8.6MiB live, 146.8MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Outputs
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
Calls

5 calls:

88.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
80.0ms
y
67.0ms
x
34.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
18.0ms
z
Results
AccuracySegmentsBranch
96.8%1x
96.8%1y
96.8%1z
99.5%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
99.5%2(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes193.0ms (1.6%)

Memory
-4.0MiB live, 157.0MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
Outputs
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

5 calls:

67.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
50.0ms
y
31.0ms
z
25.0ms
x
16.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
95.3%2z
97.3%2x
96.5%2y
97.5%3(*.f64 (cosh.f64 x) (/.f64 y x))
97.6%3(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes32.0ms (0.3%)

Memory
-16.4MiB live, 29.4MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
Outputs
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x)))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

1 calls:

29.0ms
x
Results
AccuracySegmentsBranch
97.2%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes176.0ms (1.5%)

Memory
15.4MiB live, 124.7MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x y) x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) (neg.f64 y)) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) x) x y) x)) z)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))))
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
Calls

5 calls:

58.0ms
z
42.0ms
y
40.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
17.0ms
x
15.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
91.6%1z
94.3%2(*.f64 (cosh.f64 x) (/.f64 y x))
94.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
93.5%2y
94.3%2x
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes15.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))) x)
(/.f64 (*.f64 y #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) x)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x)
Calls

1 calls:

13.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes84.0ms (0.7%)

Memory
-11.9MiB live, 36.2MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) x) x y) x)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

3 calls:

57.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
13.0ms
x
12.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
91.6%1x
94.2%2(*.f64 (cosh.f64 x) (/.f64 y x))
94.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes42.0ms (0.4%)

Memory
-6.2MiB live, 30.6MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) (*.f64 x y) y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z)
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

1 calls:

40.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
94.3%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes70.0ms (0.6%)

Memory
4.0MiB live, 79.9MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) y) (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x y) x)) x) x)) x) x y) x)) z)
Outputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

5 calls:

25.0ms
z
12.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
11.0ms
y
11.0ms
x
10.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
91.6%2x
89.1%1z
90.9%2y
89.1%1(*.f64 (cosh.f64 x) (/.f64 y x))
89.1%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes57.0ms (0.5%)

Memory
13.0MiB live, 95.9MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x)
Calls

5 calls:

15.0ms
x
12.0ms
z
10.0ms
y
9.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
9.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
90.1%2(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
90.1%2(*.f64 (cosh.f64 x) (/.f64 y x))
87.4%1z
87.4%1y
89.3%2x
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes45.0ms (0.4%)

Memory
2.8MiB live, 77.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* 1/24 x) x) 1/2) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) x) x y) x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) x) y) x)) z)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z)
Calls

5 calls:

11.0ms
x
8.0ms
y
8.0ms
z
7.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
84.6%1y
86.4%2z
87.1%2x
84.6%1(*.f64 (cosh.f64 x) (/.f64 y x))
84.6%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory
-28.2MiB live, 15.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
86.8%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z)
(/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) x)
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) y) x) x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) z)
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
86.8%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-24.7MiB live, 14.0MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* x x) 1/24) 1/2) (* (* x y) x)) y) x) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/24 binary64) y)))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 z x)) y))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
86.7%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory
16.3MiB live, 55.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
(/.f64 #s(approx (* y (/ (cosh x) z)) (/.f64 y z)) x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
(/.f64 #s(approx (/ y (/ z (cosh x))) (/.f64 y z)) x)
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y))))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z)
Calls

5 calls:

5.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Results
AccuracySegmentsBranch
56.4%2y
61.4%3(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
65.9%3(*.f64 (cosh.f64 x) (/.f64 y x))
62.3%5z
69.8%2x
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes3.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x 1/2) x) 1) (* z x)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) y))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) y))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
69.1%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))))
Calls

2 calls:

2.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
2.0ms
x
Results
AccuracySegmentsBranch
57.9%2(*.f64 (cosh.f64 x) (/.f64 y x))
64.3%2x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes8.0ms (0.1%)

Memory
-17.1MiB live, 22.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
Calls

5 calls:

2.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Results
AccuracySegmentsBranch
50.2%1y
50.2%1z
50.2%1(*.f64 (cosh.f64 x) (/.f64 y x))
50.2%1(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
50.2%1x
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6800075950648694e+94
1.17959223327152e+103
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch11.0ms (0.1%)

Memory
-27.6MiB live, 21.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
4.040884688145973e+49
1.2401893611961559e+50
Samples
4.0ms80×0valid
Compiler

Compiled 209 to 133 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (41.4% of total)
ival-cosh: 1.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.040884688145973e+49
1.2401893611961559e+50
Compiler

Compiled 209 to 133 computations (36.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.182187354343934e-51
7.383153587657557e-49
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6800075950648694e+94
1.17959223327152e+103
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6800075950648694e+94
1.17959223327152e+103
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6800075950648694e+94
1.17959223327152e+103
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch14.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
7.931890729651961e+76
2.9745952778353246e+82
Samples
7.0ms144×0valid
Compiler

Compiled 455 to 292 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47.1% of total)
ival-mult: 1.0ms (23.5% of total)
ival-cosh: 1.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6800075950648694e+94
1.17959223327152e+103
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
7947.819907976656
19753849.148041338
Samples
3.0ms32×0valid
Compiler

Compiled 102 to 65 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (56.6% of total)
ival-cosh: 1.0ms (56.6% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
7947.819907976656
19753849.148041338
Compiler

Compiled 94 to 61 computations (35.1% saved)

bsearch16.0ms (0.1%)

Memory
-18.6MiB live, 20.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.1127011266531528e-7
6.047403897835566e-6
Samples
11.0ms112×0valid
Compiler

Compiled 252 to 160 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (27.8% of total)
ival-mult: 1.0ms (27.8% of total)
ival-cosh: 1.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1127011266531528e-7
6.047403897835566e-6
Compiler

Compiled 203 to 125 computations (38.4% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1127011266531528e-7
6.047403897835566e-6
Compiler

Compiled 175 to 111 computations (36.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1127011266531528e-7
6.047403897835566e-6
Compiler

Compiled 175 to 111 computations (36.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.1127011266531528e-7
6.047403897835566e-6
Compiler

Compiled 175 to 111 computations (36.6% saved)

simplify19.0ms (0.2%)

Memory
3.9MiB live, 43.5MiB allocated
Algorithm
egg-herbie
Rules
41×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
11×sub-neg_binary64
10×+-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0166885
1204885
2214885
3230885
4245884
5263884
6273884
7278884
8280884
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))
Outputs
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) z) y) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 120000000000000009155723809310264403953957965135872 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64)))))) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 1684996666696915/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (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)) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (/.f64 y (/.f64 z #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z)) x))
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 50000000000000001010943956357797349428804816160717887056888842810400200249908215467934891376640 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x))) z) (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) z) y) x))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y) x)) x)) z))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 500000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* (+ (* (* 1/24 x) x) 1/2) y) x) x) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (+ (* (* 1/2 x) y) (/ y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) z) y))))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)))))
(if (<=.f64 x #s(literal 1770887431076117/295147905179352825856 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* (* x x) 1/2) 1) (/ y (* z x))) (*.f64 (/.f64 y z) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x)))

soundness2.5s (20.9%)

Memory
-11.0MiB live, 1 466.1MiB allocated
Rules
10 220×lower-fma.f64
10 220×lower-fma.f32
9 178×lower-fma.f64
9 178×lower-fma.f32
8 508×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01976982
16386975
219936729
362056700
082786444
01977370
16577198
221457050
347846970
085066679
01896856
16156764
220426562
348536516
084106286
0719
01119
13619
220819
3216119
0857119
046361
075359
1284359
21563359
08328359
043338
079334
1317332
21901332
08377332
040277
071277
1249277
21624277
08233277
0701004
12011000
2599988
31416982
42110982
52777980
63318980
74807976
85464976
95934976
106466976
117754976
08037958
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 484 to 631 computations (57.5% saved)

preprocess513.0ms (4.3%)

Memory
20.6MiB live, 382.8MiB allocated
Compiler

Compiled 1 418 to 368 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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