Hyperbolic secant

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample840.0ms (9.2%)

Memory
-17.5MiB live, 1 301.7MiB allocated
Samples
587.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 366.0ms
ival-exp: 213.0ms (58.1% of total)
ival-div: 69.0ms (18.8% of total)
ival-add: 40.0ms (10.9% of total)
ival-neg: 31.0ms (8.5% of total)
ival-true: 6.0ms (1.6% of total)
exact: 4.0ms (1.1% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain118.0ms (1.3%)

Memory
25.0MiB live, 221.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 15.0ms (48.9% of total)
ival-exp: 7.0ms (22.8% of total)
ival-add: 5.0ms (16.3% of total)
ival-neg: 3.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.2%)

Memory
8.0MiB live, 46.3MiB allocated
Algorithm
egg-herbie
Rules
48×sub-neg
28×distribute-lft-neg-in
28×cancel-sign-sub-inv
22×associate-+l-
18×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12816
25716
310016
413716
518116
620916
721716
822316
923316
1024116
078
0128
1198
2258
3298
4338
5398
6468
7508
8528
9538
0538
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify71.0ms (0.8%)

Memory
-25.7MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Rules
16×lower-*.f64
16×lower-*.f32
12×lower-fma.f64
12×lower-fma.f32
12×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
11923
22523
32923
43323
53923
64623
75023
85223
95323
05323
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize48.0ms (0.5%)

Memory
-24.6MiB live, 44.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 x))
accuracy0
(exp.f64 x)
accuracy0.00390625
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy0.00390625
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
40.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-exp: 29.0ms (87.6% of total)
ival-div: 2.0ms (6% of total)
ival-add: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@inf
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@0
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@0
(+ (exp x) (exp (neg x)))
0.0ms
x
@0
(exp (neg x))

simplify246.0ms (2.7%)

Memory
38.8MiB live, 459.9MiB allocated
Algorithm
egg-herbie
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
3 668×lower-*.f64
3 668×lower-*.f32
2 386×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066283
1162282
2359278
3921278
41406278
52068278
63397278
74663278
85970278
97535278
08007256
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite287.0ms (3.1%)

Memory
-9.2MiB live, 473.9MiB allocated
Rules
5 044×lower-/.f32
5 042×lower-/.f64
4 012×lower-*.f64
4 012×lower-*.f32
2 444×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
01215
14213
225713
3237013
0906413
Stop Event
iter limit
node limit
iter limit
Counts
4 → 392
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x #s(literal 3 binary64) (-.f64 (neg.f64 x) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

eval72.0ms (0.8%)

Memory
-4.9MiB live, 115.5MiB allocated
Compiler

Compiled 8 351 to 1 377 computations (83.5% saved)

prune92.0ms (1%)

Memory
10.8MiB live, 170.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4328440
Fresh000
Picked101
Done000
Total4338441
Accuracy
100.0%
Counts
441 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
74.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
46.0%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 172 to 102 computations (40.7% saved)

simplify246.0ms (2.7%)

Memory
-26.5MiB live, 334.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 (+.f64 x x))
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
cost-diff6912
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
cost-diff0
(fma.f64 x x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
4 262×lower-*.f32
4 252×lower-*.f64
4 218×lower-fma.f32
4 212×lower-fma.f64
3 016×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028159
046155
185149
2182145
3389145
41034145
52951142
67654142
08984138
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x x)
#s(literal 1/12 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)

localize216.0ms (2.4%)

Memory
-4.6MiB live, 363.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
accuracy0
(sinh.f64 x)
accuracy0.00390625
(sinh.f64 (+.f64 x x))
accuracy1.3046806198540697
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
accuracy0.00390625
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
accuracy0.0703125
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy1.3314373085553073
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
accuracy0
(fma.f64 x x #s(literal 2 binary64))
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy1.3890301451535858
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy1.627560240311934
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy0
(cosh.f64 x)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
138.0ms133×5exit
26.0ms123×0valid
Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
adjust: 37.0ms (30.5% of total)
ival-sinh: 30.0ms (24.7% of total)
ival-add: 12.0ms (9.9% of total)
ival-mult: 12.0ms (9.9% of total)
ival-div: 8.0ms (6.6% of total)
ival-exp: 8.0ms (6.6% of total)
ival-cosh: 6.0ms (4.9% of total)
const: 6.0ms (4.9% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
1.6MiB live, 40.0MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (patch (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #<representation binary64>) () ())
#s(alt (sinh.f64 (+.f64 x x)) (patch (sinh.f64 (+.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cosh.f64 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 1 (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 2 binary64)) (patch (fma.f64 x x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* (/ 2 (* 2 (sinh (+ x x)))) (* 2 (sinh x)))
2.0ms
x
@inf
(* (/ 2 (* 2 (sinh (+ x x)))) (* 2 (sinh x)))
2.0ms
x
@0
(* (/ 2 (* 2 (sinh (+ x x)))) (* 2 (sinh x)))
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@-inf
(/ 1 (cosh x))

simplify241.0ms (2.6%)

Memory
39.4MiB live, 498.9MiB allocated
Algorithm
egg-herbie
Rules
12 354×lower-fma.f64
12 354×lower-fma.f32
4 400×lower-*.f64
4 400×lower-*.f32
3 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911826
15531754
214381750
327841746
478051746
080091635
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp 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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/3 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 4 x)
(* x (+ 4 (* 8/3 (pow x 2))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* 1/12 (pow x 3))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* 1/12 (pow x 3))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -62/945 binary64) #s(literal 7/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x)
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 8/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 8/3 binary64)) #s(literal 4 binary64)))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 8/15 binary64) #s(literal 8/3 binary64)) #s(literal 4 binary64)))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 16/315 binary64)) #s(literal 8/15 binary64))) #s(literal 8/3 binary64))) #s(literal 4 binary64)))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 4/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/15 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 8/315 binary64)) #s(literal 4/15 binary64))) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite91.0ms (1%)

Memory
-28.5MiB live, 152.6MiB allocated
Rules
518×lower-*.f32
508×lower-*.f64
494×lower-fma.f32
488×lower-fma.f64
480×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028143
046120
1173116
01094112
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 231
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(sinh.f64 (+.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(sinh.f64 x)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (sinh.f64 (+.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sinh.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x)))))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64))) (-.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (sinh.f64 (+.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sinh.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 (+.f64 x x))))
(/.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(pow.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(+.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 (+.f64 x x))))
(+.f64 (exp.f64 (+.f64 x x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (sinh.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64) (sinh.f64 (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) (sinh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(sinh.f64 (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))

eval251.0ms (2.7%)

Memory
14.6MiB live, 130.2MiB allocated
Compiler

Compiled 6 744 to 733 computations (89.1% saved)

prune106.0ms (1.2%)

Memory
-2.1MiB live, 159.6MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New42310433
Fresh033
Picked235
Done000
Total42516441
Accuracy
100.0%
Counts
441 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
74.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
52.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
44.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
30.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
88.4%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
46.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 436 to 226 computations (48.2% saved)

simplify314.0ms (3.4%)

Memory
-14.4MiB live, 180.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
cost-diff0
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
cost-diff0
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
Rules
5 208×lower-fma.f32
5 190×lower-fma.f64
1 620×lower-*.f32
1 604×lower-*.f64
644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044397
074365
1164365
2290357
3497357
4602357
5623357
6753357
71055357
81392357
91770357
102200357
112661357
123376357
133472357
143514357
153543357
163674357
173722357
183722357
193722357
203722357
213722357
223732357
03732343
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
x
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
x
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)

localize151.0ms (1.7%)

Memory
6.1MiB live, 324.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.02734375
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
accuracy0.5037818063430471
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy5.075849968113881
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.0546875
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
accuracy0.109375
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
accuracy0.3359375
(*.f64 x #s(literal 1/12 binary64))
accuracy7.440485377436258
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
accuracy0.0703125
(*.f64 x (*.f64 x x))
accuracy0.1171875
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
accuracy7.440485377436258
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
accuracy28.66274421722875
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
accuracy0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy34.05123092760686
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.0625
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy0.21484375
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy0.265625
(*.f64 x #s(literal 1/360 binary64))
accuracy5.075849968113881
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
Samples
84.0ms256×0valid
Compiler

Compiled 259 to 44 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 29.0ms (46.6% of total)
ival-add: 18.0ms (28.9% of total)
const: 7.0ms (11.2% of total)
ival-exp: 4.0ms (6.4% of total)
ival-div: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
8.6MiB live, 47.0MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) (patch (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/360 binary64)) (patch (*.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/12 binary64)) (patch (*.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (neg x))) (taylor inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
0.0ms
x
@0
(* x (* 1/12 (* x (* x x))))
0.0ms
x
@inf
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
0.0ms
x
@-inf
(* 1/12 (* x (* x x)))
0.0ms
x
@-inf
(* x 1/360)

simplify181.0ms (2%)

Memory
19.5MiB live, 295.4MiB allocated
Algorithm
egg-herbie
Rules
9 176×lower-fma.f64
9 176×lower-fma.f32
3 368×lower-*.f64
3 368×lower-*.f32
1 456×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0962362
12832274
26772274
317682266
440522258
561882258
081082063
Stop Event
iter limit
node limit
Counts
324 → 322
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
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(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x) #s(literal 2 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))

rewrite344.0ms (3.8%)

Memory
2.0MiB live, 559.1MiB allocated
Rules
5 832×lower-fma.f32
5 814×lower-fma.f64
4 040×lower-/.f32
4 034×lower-/.f64
3 538×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044370
074320
1337318
21977310
08377296
Stop Event
iter limit
node limit
iter limit
Counts
27 → 615
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))

eval225.0ms (2.5%)

Memory
7.0MiB live, 363.5MiB allocated
Compiler

Compiled 31 377 to 2 112 computations (93.3% saved)

prune235.0ms (2.6%)

Memory
-22.5MiB live, 585.0MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 018191 037
Fresh448
Picked415
Done033
Total1 026271 053
Accuracy
100.0%
Counts
1 053 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
52.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
91.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
65.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
50.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
64.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
52.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))))
91.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
74.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
52.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
48.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))))
47.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
47.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
44.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
44.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
44.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
30.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
46.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 038 to 501 computations (51.7% saved)

simplify233.0ms (2.5%)

Memory
10.8MiB live, 475.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x)
cost-diff0
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
cost-diff0
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
cost-diff0
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) 2) (*.f64 x x))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
cost-diff640
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
Rules
11 384×lower-fma.f32
11 368×lower-fma.f64
5 044×lower-*.f32
5 020×lower-*.f64
1 544×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059633
097586
1208531
2426531
3764531
41121531
51253531
61706531
72841531
83848531
94910531
105730531
08125505
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
x
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x)
(*.f64 x x)
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(literal 1/129600 binary64)
#s(literal -1/144 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))
#s(literal 1/360 binary64)
#s(literal -1/12 binary64)
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
x
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x)
(*.f64 x x)
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
#s(literal 1/129600 binary64)
#s(literal -1/144 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))
#s(literal 1/360 binary64)
#s(literal -1/12 binary64)

localize471.0ms (5.1%)

Memory
-19.6MiB live, 355.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4623815646299793
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
accuracy0.5194068063430471
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))
accuracy5.075849968113881
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))
accuracy22.427131593904573
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
accuracy0.21484375
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy0.265625
(*.f64 x #s(literal 1/360 binary64))
accuracy5.075849968113881
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
accuracy28.397562354592978
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
accuracy0.08822250976844202
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.1640625
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy7.440485377436258
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
accuracy28.66274421722875
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
accuracy16.264553674652518
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
accuracy28.446531911482655
#s(approx (+ (* x x) 2) (*.f64 x x))
accuracy0.0703125
(*.f64 x (*.f64 x x))
accuracy0.265625
(*.f64 x #s(literal 1/360 binary64))
accuracy0.3359375
(*.f64 x #s(literal 1/12 binary64))
accuracy5.075849968113881
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
Samples
199.0ms256×0valid
Compiler

Compiled 394 to 54 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-add: 98.0ms (63% of total)
ival-mult: 34.0ms (21.9% of total)
const: 15.0ms (9.6% of total)
ival-exp: 4.0ms (2.6% of total)
ival-div: 3.0ms (1.9% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
22.6MiB live, 59.9MiB allocated
Counts
28 → 336
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) (patch #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (patch #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (patch (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/12 binary64)) (patch (*.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/360 binary64)) (patch (*.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/129600 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* x (+ (* (* x x) (* x (/ (+ (* (* (* x x) (* x x)) 1/129600) -1/144) (+ (* (* x x) 1/360) -1/12)))) x)) 2)
0.0ms
x
@inf
(+ (* x (+ (* (* x x) (* x (/ (+ (* (* (* x x) (* x x)) 1/129600) -1/144) (+ (* (* x x) 1/360) -1/12)))) x)) 2)
0.0ms
x
@inf
(+ (* (* x x) (* x (/ (+ (* (* (* x x) (* x x)) 1/129600) -1/144) (+ (* (* x x) 1/360) -1/12)))) x)
0.0ms
x
@-inf
(+ (* x (+ (* (* x x) (* x (/ (+ (* (* (* x x) (* x x)) 1/129600) -1/144) (+ (* (* x x) 1/360) -1/12)))) x)) 2)
0.0ms
x
@inf
(/ (+ (* (* (* x x) (* x x)) 1/129600) -1/144) (+ (* (* x x) 1/360) -1/12))

simplify205.0ms (2.2%)

Memory
1.4MiB live, 360.0MiB allocated
Algorithm
egg-herbie
Rules
8 932×lower-fma.f64
8 932×lower-fma.f32
3 028×lower-*.f64
3 028×lower-*.f32
1 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01082488
13182418
27542418
319682414
445592402
569792402
081572189
Stop Event
iter limit
node limit
Counts
336 → 335
Calls
Call 1
Inputs
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
-1/12
(- (* 1/360 (pow x 2)) 1/12)
(- (* 1/360 (pow x 2)) 1/12)
(- (* 1/360 (pow x 2)) 1/12)
(* 1/360 (pow x 2))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
-1/144
(- (* 1/129600 (pow x 4)) 1/144)
(- (* 1/129600 (pow x 4)) 1/144)
(- (* 1/129600 (pow x 4)) 1/144)
(* 1/129600 (pow x 4))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* 1/129600 (pow x 4))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
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) (- (* 5/24 (pow x 2)) 1/2)))
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1
#s(literal 1 binary64)
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(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
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(/ 2 (+ (exp x) (exp (neg x))))
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(/ 2 (+ (exp x) (exp (neg x))))
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(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
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(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 2 binary64))
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
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(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
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(+ (exp x) (exp (* -1 x)))
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(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
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(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 2 binary64))
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)
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(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
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(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(* 1/360 (pow x 5))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(* 1/12 x)
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(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
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(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
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(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
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(pow x 3)
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(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
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(* 1/12 (pow x 2))
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(* x (+ 1/12 (* 1/360 (pow x 2))))
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(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
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(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
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(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
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(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
-1/12
#s(literal -1/12 binary64)
(- (* 1/360 (pow x 2)) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(- (* 1/360 (pow x 2)) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(- (* 1/360 (pow x 2)) 1/12)
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(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
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(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
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(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(* (pow x 2) (- 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
-1/144
#s(literal -1/144 binary64)
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(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(- (* 1/129600 (pow x 4)) 1/144)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(- (* 1/129600 (pow x 4)) 1/144)
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(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))
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(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
(* (pow x 4) (- 1/129600 (* 1/144 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))

rewrite352.0ms (3.8%)

Memory
-28.7MiB live, 576.8MiB allocated
Rules
7 590×lower-fma.f32
7 574×lower-fma.f64
4 600×lower-*.f32
4 578×lower-*.f64
4 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059541
097460
1422388
23059388
09477368
Stop Event
iter limit
node limit
iter limit
Counts
28 → 623
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
#s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/4320 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/4320 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/4320 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/129600 binary64) x) (*.f64 x (*.f64 x x)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) #s(literal 1/20736 binary64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64)) #s(literal -1/2985984 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64)))) (neg.f64 (-.f64 #s(literal -1/144 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64))) #s(literal 1/2985984 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) (+.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)))) #s(literal 1/144 binary64))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64)) #s(literal -1/2985984 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2176782336000000 binary64)) #s(literal -1/2985984 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/18662400 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16796160000 binary64) #s(literal -1/20736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/129600 binary64)) #s(literal 1/144 binary64))))

eval253.0ms (2.8%)

Memory
14.5MiB live, 396.1MiB allocated
Compiler

Compiled 36 366 to 3 041 computations (91.6% saved)

prune295.0ms (3.2%)

Memory
12.2MiB live, 579.4MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New1 159131 172
Fresh11718
Picked235
Done044
Total1 172271 199
Accuracy
100.0%
Counts
1 199 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
92.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
94.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
47.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/129600) -1/144) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
52.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))))
74.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
48.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
47.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
47.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
47.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
47.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
47.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
47.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
44.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
44.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
44.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
44.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
30.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
46.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
46.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 334 to 431 computations (67.7% saved)

regimes46.0ms (0.5%)

Memory
6.9MiB live, 127.9MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/129600) -1/144) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

17.0ms
x
14.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes38.0ms (0.4%)

Memory
4.8MiB live, 121.0MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/129600) -1/144) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
Calls

3 calls:

13.0ms
x
11.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
94.2%1x
94.2%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.2%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.4%)

Memory
-18.1MiB live, 72.0MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/129600) -1/144) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
Calls

3 calls:

12.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms
x
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
92.1%1x
92.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.3%)

Memory
-11.8MiB live, 65.2MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
Calls

3 calls:

9.0ms
x
9.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
91.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
91.6%1x
91.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.3%)

Memory
26.8MiB live, 67.6MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))))
Calls

3 calls:

10.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms
x
7.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.0%2x
92.0%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.0%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.3%)

Memory
-16.4MiB live, 60.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1))) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
Calls

3 calls:

9.0ms
x
7.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
92.0%2x
92.0%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.0%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.3%)

Memory
-11.9MiB live, 66.4MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
Calls

3 calls:

7.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms
x
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
88.7%1x
88.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory
19.9MiB live, 59.2MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x (* x x)) (* x 1/360)) (+ (* x (* x 1/12)) 1)) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
88.4%1x
88.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes62.0ms (0.7%)

Memory
2.3MiB live, 41.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) #s(approx (* x (* x (* x (* x (+ (* x (* x 1/360)) 1/12))))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) x) x)))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
Calls

3 calls:

51.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
88.7%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.7%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
88.7%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes34.0ms (0.4%)

Memory
-11.7MiB live, 28.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

27.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
88.3%2x
88.3%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.3%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
74.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
74.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
74.6%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.7%)

Memory
-26.8MiB live, 16.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

59.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
74.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
74.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
74.5%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated
Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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

3 calls:

2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
47.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
47.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
47.1%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0777375153748023
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0777375153748023
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch76.0ms (0.8%)

Memory
-6.0MiB live, 33.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
75.0ms
0.2779191921325004
13189.367918759615
Samples
70.0ms128×0valid
Compiler

Compiled 244 to 155 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (62% of total)
ival-div: 1.0ms (20.7% of total)
ival-add: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.2779191921325004
13189.367918759615
Compiler

Compiled 244 to 155 computations (36.5% saved)

bsearch6.0ms (0.1%)

Memory
13.0MiB live, 13.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.2779191921325004
13189.367918759615
Samples
3.0ms48×0valid
Compiler

Compiled 156 to 99 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (57% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify36.0ms (0.4%)

Memory
-10.4MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124462
1149462
2151462
3152462
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64))))))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) #s(approx (+ (* (* x x) 1/360) -1/12) #s(literal -1/12 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x #s(approx (* x (+ (* x (* x 1/360)) 1/12)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/360) 1/12)) 1)) 2) (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64))))))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

soundness2.0s (22.2%)

Memory
-21.9MiB live, 1 303.1MiB allocated
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
12 354×lower-fma.f64
12 354×lower-fma.f32
9 176×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044370
074320
1337318
21977310
08377296
028143
046120
1173116
01094112
01911826
15531754
214381750
327841746
478051746
080091635
066283
1162282
2359278
3921278
41406278
52068278
63397278
74663278
85970278
97535278
08007256
0719
01215
14213
225713
3237013
0906413
01082488
13182418
27542418
319682414
445592402
569792402
081572189
0962362
12832274
26772274
317682266
440522258
561882258
081082063
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 584 to 272 computations (53.4% saved)

preprocess277.0ms (3%)

Memory
13.2MiB live, 255.7MiB allocated
Remove

(abs x)

Compiler

Compiled 558 to 174 computations (68.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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