Hyperbolic secant

Time bar (total: 9.6s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×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)

sample747.0ms (7.8%)

Memory
29.2MiB live, 1 607.6MiB allocated
Samples
515.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 343.0ms
ival-exp: 195.0ms (56.8% of total)
ival-div: 55.0ms (16% of total)
ival-add: 45.0ms (13.1% of total)
ival-neg: 33.0ms (9.6% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess24.0ms (0.2%)

Memory
-13.8MiB live, 63.1MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)

explain94.0ms (1%)

Memory
12.2MiB live, 261.6MiB 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)
01(119.22689415869264)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
29.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 7.0ms (43.5% of total)
ival-div: 3.0ms (18.6% of total)
ival-add: 2.0ms (12.4% of total)
ival-neg: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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)

simplify7.0ms (0.1%)

Memory
-22.4MiB live, 17.1MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize37.0ms (0.4%)

Memory
-13.3MiB live, 67.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (43.8% of total)
ival-div: 3.0ms (32.9% of total)
ival-add: 1.0ms (11% of total)
ival-neg: 1.0ms (11% 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
8.8MiB live, 8.8MiB 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 x)

simplify425.0ms (4.4%)

Memory
20.9MiB live, 664.8MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite320.0ms (3.3%)

Memory
-27.9MiB live, 624.5MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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)))

eval47.0ms (0.5%)

Memory
15.7MiB live, 128.4MiB allocated
Compiler

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

prune67.0ms (0.7%)

Memory
-17.8MiB live, 192.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4337440
Fresh000
Picked101
Done000
Total4347441
Accuracy
100.0%
Counts
441 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
94.5%
(/.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))))
▶90.1%
(/.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))))
▶79.3%
(/.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))
▶51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶51.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 132 to 80 computations (39.4% saved)

simplify70.0ms (0.7%)

Memory
14.8MiB live, 93.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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
(*.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
#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
1 168×lower-fma.f32
1 160×lower-fma.f64
616×lower-*.f32
612×lower-*.f64
216×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
037144
163140
299132
3118132
4133132
5145132
6246132
7352132
8447132
9546132
10653132
11893132
121168132
131269132
141322132
151350132
161358132
171360132
01360128
Stop Event
1×iter limit
1×saturated
1×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)
#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))) (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)
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)
#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))) (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)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)

localize111.0ms (1.2%)

Memory
-23.5MiB live, 172.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy90.1%
#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)))
✓accuracy100.0%
(fma.f64 x x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓accuracy79.3%
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓accuracy51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓accuracy51.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
80.0ms256×0valid
Compiler

Compiled 108 to 23 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-add: 28.0ms (42.3% of total)
ival-cosh: 19.0ms (28.7% of total)
ival-mult: 7.0ms (10.6% of total)
const: 4.0ms (6% of total)
ival-div: 3.0ms (4.5% of total)
ival-exp: 3.0ms (4.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
32.7MiB live, 32.7MiB allocated
Counts
14 → 168
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 #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))) (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 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<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 #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 (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#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 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))) (taylor 0 x) (#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 (+ 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)))) (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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 1 (taylor 0 x) (#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>) () ())) ())
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#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#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 (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#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 (* -1/2 (pow x 2)) (taylor inf x) (#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>) () ())) ())
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#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor inf x) (#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 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor inf x) (#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 (* -1/2 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#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 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#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 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) (taylor -inf x) (#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 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4))))) (taylor -inf x) (#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 x (taylor 0 x) (#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 (* x (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#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 (* 1/12 (pow x 3)) (taylor inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor inf x) (#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 (* 1/12 (pow x 3)) (taylor -inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2)))) (taylor -inf x) (#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 (* 1/12 (pow x 2)) (taylor 0 x) (#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 (* 1/12 (pow x 2)) (taylor 0 x) (#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 (* 1/12 (pow x 2)) (taylor 0 x) (#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 (* 1/12 (pow x 2)) (taylor 0 x) (#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 (* 1/12 (pow x 2)) (taylor inf x) (#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 (* 1/12 (pow x 2)) (taylor inf x) (#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 (* 1/12 (pow x 2)) (taylor inf x) (#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 (* 1/12 (pow x 2)) (taylor inf x) (#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 (* 1/12 (pow x 2)) (taylor -inf x) (#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 (* 1/12 (pow x 2)) (taylor -inf x) (#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 (* 1/12 (pow x 2)) (taylor -inf x) (#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 (* 1/12 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@-inf
(/ 1 (cosh x))
0.0ms
x
@inf
(+ (* x (* (* x x) 1/12)) x)
0.0ms
x
@inf
(+ (* -1/2 (* x x)) 1)
0.0ms
x
@inf
(+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)

simplify304.0ms (3.2%)

Memory
-3.3MiB live, 629.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 046×lower-fma.f64
10 046×lower-fma.f32
3 144×lower-*.f64
3 144×lower-*.f32
2 312×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811226
12121192
25091188
313861184
433411184
557421184
678361184
081971094
Stop Event
1×iter limit
1×node limit
Counts
168 → 167
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))))
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))
(+ 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))))
(* 1/12 (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))
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) (/ 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #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 (*.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))))
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))))
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 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 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 (*.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 #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 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))
(+ (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 (*.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 #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 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))
(+ (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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.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)
(* 1/12 (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))

rewrite434.0ms (4.5%)

Memory
-15.9MiB live, 856.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 854×lower-fma.f32
9 846×lower-fma.f64
5 686×lower-*.f32
5 682×lower-*.f64
3 878×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024130
037114
1149110
2959110
08325106
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 414
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))
#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))) (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 x x) #s(literal 1/12 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 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)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.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 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x)))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1/2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/20736 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1/2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/20736 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(*.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)

eval71.0ms (0.7%)

Memory
19.7MiB live, 194.2MiB allocated
Compiler

Compiled 14 224 to 1 372 computations (90.4% saved)

prune84.0ms (0.9%)

Memory
4.3MiB live, 237.2MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New59010600
Fresh112
Picked145
Done000
Total59215607
Accuracy
100.0%
Counts
607 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶90.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
59.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
90.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
90.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
94.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (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))))
✓79.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
52.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
▶41.8%
(/.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)))))
41.5%
(/.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)))))))
▶31.0%
(/.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))
▶94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 424 to 239 computations (43.6% saved)

simplify364.0ms (3.8%)

Memory
-10.5MiB live, 358.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
✓cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
#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)))
✓cost-diff0
#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))))
✓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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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
(cosh.f64 x)
✓cost-diff0
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
✓cost-diff12224
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
6 264×lower-fma.f32
6 252×lower-fma.f64
2 472×unsub-neg
2 002×lower-*.f32
1 990×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045347
071325
1135321
2235321
3419321
4776321
5955321
61115321
71379321
81475321
91573321
101656321
112021321
123954321
135201321
145654321
155750321
165759321
175759321
185759321
195759321
205759321
216209321
226401321
236401321
246401321
256408321
06408312
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 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(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 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) 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 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
Outputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 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(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 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)))))
#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))))
#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))))
#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)))
#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 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
x
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.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 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize184.0ms (1.9%)

Memory
-4.3MiB live, 310.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy94.5%
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy90.1%
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy90.1%
#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))))
✓accuracy51.3%
#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)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓accuracy79.3%
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
✓accuracy51.2%
#s(approx (+ (* x x) 2) (*.f64 x x))
✓accuracy100.0%
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Samples
131.0ms256×0valid
Compiler

Compiled 220 to 43 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-pow: 37.0ms (33.9% of total)
const: 24.0ms (22% of total)
ival-mult: 21.0ms (19.2% of total)
ival-add: 12.0ms (11% of total)
ival-exp: 4.0ms (3.7% of total)
ival-div: 3.0ms (2.7% of total)
ival-cosh: 3.0ms (2.7% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-neg: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-16.3MiB live, 59.7MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#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 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)) (patch (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) (patch #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x 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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 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 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 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 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4))) (taylor 0 x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #<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 (/.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 (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#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 (+ 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))) #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 (+ 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))) #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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (neg x)))) (taylor inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 (/ 2 (+ (exp x) (exp (* -1 x)))) (taylor -inf x) (#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 2 (taylor 0 x) (#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 (+ 2 (pow x 2)) (taylor 0 x) (#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 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) (taylor 0 x) (#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 (+ 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))) #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 (+ (exp x) (exp (neg x))) (taylor inf x) (#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 (+ (exp x) (exp (neg x))) (taylor inf x) (#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 (+ (exp x) (exp (neg x))) (taylor inf x) (#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 (+ (exp x) (exp (neg x))) (taylor inf x) (#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 (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#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 (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#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 (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#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 (+ (exp x) (exp (* -1 x))) (taylor -inf x) (#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 2 (taylor 0 x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) 2) (*.f64 x x)) (patch #s(approx (+ (* x x) 2) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow (cosh x) -1/2)
2.0ms
x
@0
(+ (* x (* x 1/12)) 1)
1.0ms
x
@-inf
(pow (cosh x) -1/2)
0.0ms
x
@inf
(+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1)
0.0ms
x
@inf
(* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))

simplify402.0ms (4.2%)

Memory
21.8MiB live, 815.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 442×lower-fma.f64
17 442×lower-fma.f32
5 742×lower-*.f64
5 742×lower-*.f32
3 192×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392424
14012392
29442334
338972332
468432332
080592164
Stop Event
1×iter limit
1×node limit
Counts
300 → 299
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 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* (sqrt 2) (sqrt (/ 1 (+ (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))))
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)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 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))))
(* (pow x 4) (+ 1/12 (/ 1 (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))))
(* (pow x 4) (+ 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 (* 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
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 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))))
(/ 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) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(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)
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))))
(* 1/12 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)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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 (*.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) (/ 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 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))
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(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 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 (*.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) (/ 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 x (*.f64 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 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 x (*.f64 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))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/720 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* 1/720 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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))
(pow x 3)
(*.f64 x (*.f64 x x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

rewrite675.0ms (7%)

Memory
11.0MiB live, 685.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 996×lower-fma.f32
4 984×lower-fma.f64
3 830×lower-/.f32
3 822×lower-/.f64
3 474×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045321
071285
1296283
21833283
08184274
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 597
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
(/.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 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
#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))))
#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 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))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cosh.f64 x)))) #s(literal 1 binary64)))
(/.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) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 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 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (cosh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(cosh.f64 x)
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #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))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(neg.f64 (/.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))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(pow.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(*.f64 #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 -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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #s(literal -1 binary64))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
(*.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (+ (* x x) 2) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #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)))) #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))) #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))))))
(neg.f64 (/.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 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #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)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #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)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #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)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 #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))))))
(pow.f64 (*.f64 #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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(*.f64 #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 (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #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)))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 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 (/.f64 #s(literal 1 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))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 #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)))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #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)))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #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))))))
(neg.f64 (neg.f64 #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(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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (neg.f64 #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))))) #s(literal -1 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(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)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #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))))))
#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)))
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(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))

eval511.0ms (5.3%)

Memory
-28.3MiB live, 300.7MiB allocated
Compiler

Compiled 25 736 to 2 422 computations (90.6% saved)

prune447.0ms (4.7%)

Memory
29.4MiB live, 313.0MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New93917956
Fresh246
Picked145
Done044
Total94229971
Accuracy
100.0%
Counts
971 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
59.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
90.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
✓79.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶52.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
41.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* x (* x 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
41.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* x (* x 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))))
✓41.8%
(/.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)))))
41.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
▶41.5%
(/.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)))))))
✓31.0%
(/.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))
▶94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
58.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
66.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
56.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
55.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
57.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
▶94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
94.4%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
94.4%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
45.9%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
▶45.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 152 to 593 computations (48.5% saved)

simplify568.0ms (5.9%)

Memory
-28.1MiB live, 610.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
✓cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
✓cost-diff0
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
✓cost-diff0
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓cost-diff0
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
Rules
9 458×lower-fma.f32
9 444×lower-fma.f64
4 060×lower-*.f32
4 038×lower-*.f64
2 872×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062678
095571
1207507
2459492
3863492
41329492
51712492
62326492
72687492
82779492
92869492
103203492
114293492
08093486
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
x
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.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)))))))
#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))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x x)
x
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/720 binary64)
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal -16 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.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)))))))
(/.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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x x)
x
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/720 binary64)
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal -16 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 x x #s(literal -2 binary64))
#s(literal -2 binary64)

localize216.0ms (2.3%)

Memory
35.0MiB live, 634.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))
✓accuracy79.3%
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
✓accuracy60.9%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
✓accuracy100.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy94.5%
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
✓accuracy94.5%
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
✓accuracy50.7%
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy90.1%
#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))))))
✓accuracy50.8%
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy94.5%
#s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
Samples
114.0ms256×0valid
Compiler

Compiled 428 to 57 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 38.0ms (45.9% of total)
ival-add: 14.0ms (16.9% of total)
const: 14.0ms (16.9% of total)
ival-div: 8.0ms (9.7% of total)
ival-cosh: 4.0ms (4.8% of total)
ival-exp: 3.0ms (3.6% of total)
ival-neg: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-2.8MiB live, 75.6MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #<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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (patch #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)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))) (patch #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) (patch #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))) (patch (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))) (patch #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
Calls

78 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 1 (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))
1.0ms
x
@inf
(/ (* (+ (* (* x x) (* (* x x) (* x (* x (* x x))))) -16) 1) (* (+ (* (* x x) (* x x)) 4) (+ (* x x) -2)))
1.0ms
x
@0
(/ (* (+ (* (* x x) (* (* x x) (* x (* x (* x x))))) -16) 1) (* (+ (* (* x x) (* x x)) 4) (+ (* x x) -2)))
0.0ms
x
@0
(* (* x x) (* x (* 1/720 (* x (* x x)))))
0.0ms
x
@0
(* 1/12 (* x (* x (* x x))))

simplify314.0ms (3.3%)

Memory
-14.3MiB live, 708.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 348×lower-fma.f64
11 348×lower-fma.f32
3 416×lower-*.f64
3 416×lower-*.f32
2 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422438
13782438
28992418
323662414
440892414
568642414
080262231
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 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))))
(/ 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) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 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) (+ 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) (/ 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) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (pow x 6))
(* 1/720 (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) (/ 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) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
-16
-16
(- (pow x 8) 16)
(- (pow x 8) 16)
(pow x 8)
(pow x 8)
(* (pow x 8) (- 1 (* 16 (/ 1 (pow x 8)))))
(* (pow x 8) (- 1 (* 16 (/ 1 (pow x 8)))))
(pow x 8)
(pow x 8)
(* (pow x 8) (- 1 (* 16 (/ 1 (pow x 8)))))
(* (pow x 8) (- 1 (* 16 (/ 1 (pow x 8)))))
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)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/4320 (pow x 2)))) 1/6)))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
(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)
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 4))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
(* 1/720 (pow x 3))
4
(+ 4 (pow x 4))
(+ 4 (pow x 4))
(+ 4 (pow x 4))
(pow x 4)
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
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)))
(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 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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (*.f64 x 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) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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)))
(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 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 (*.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))
(+ (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 (* 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))
(* 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 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) 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 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 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 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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (*.f64 x 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) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
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(*.f64 x (*.f64 x x))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
4
#s(literal 4 binary64)
(+ 4 (pow x 4))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(+ 4 (pow x 4))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(+ 4 (pow x 4))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64))

rewrite346.0ms (3.6%)

Memory
5.5MiB live, 678.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 280×lower-fma.f32
5 266×lower-fma.f64
4 404×lower-*.f32
4 382×lower-*.f64
4 048×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062539
095445
1420352
22326350
08637341
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 663
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #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)))))))
#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))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
#s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
#s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)))))
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eval149.0ms (1.5%)

Memory
26.2MiB live, 331.6MiB allocated
Compiler

Compiled 40 741 to 2 975 computations (92.7% saved)

prune203.0ms (2.1%)

Memory
-37.3MiB live, 449.0MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1 144121 156
Fresh11516
Picked415
Done178
Total1 160251 185
Accuracy
100.0%
Counts
1 185 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
90.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
94.5%
(/.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))))
✓79.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
68.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
41.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (+ (* x (* x 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
41.5%
(/.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 #s(literal 1/12 binary64))) (*.f64 x x)))))
41.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))))
41.8%
(/.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)))))
✓41.8%
(/.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)))))
✓31.0%
(/.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))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))))
58.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
94.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
45.9%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
46.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
45.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
45.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
45.9%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
✓45.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
45.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 316 to 435 computations (66.9% saved)

regimes35.0ms (0.4%)

Memory
36.9MiB live, 75.9MiB 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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 (*.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 (*.f64 x x) (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 1 binary64) #s(approx (cosh x) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (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))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

12.0ms
x
11.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
(+.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)

regimes35.0ms (0.4%)

Memory
-7.8MiB live, 71.7MiB allocated
Counts
44 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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 (*.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 (*.f64 x x) (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 1 binary64) #s(approx (cosh x) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (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))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(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)))))))
Calls

3 calls:

12.0ms
x
11.0ms
(+.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
97.0%2x
94.5%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.5%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory
-10.0MiB live, 29.0MiB allocated
Counts
41 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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 (*.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 (*.f64 x x) (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 1 binary64) #s(approx (cosh x) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (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))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 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) 2) (*.f64 x x))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
96.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.3%)

Memory
20.3MiB live, 59.5MiB allocated
Counts
36 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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 (*.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 (*.f64 x x) (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 1 binary64) #s(approx (cosh x) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

10.0ms
x
8.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
94.5%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.5%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
94.5%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Memory
-34.1MiB live, 45.9MiB allocated
Counts
26 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

7.0ms
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
94.5%1x
94.5%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.5%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.2%)

Memory
5.6MiB live, 44.7MiB allocated
Counts
25 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
x
6.0ms
(+.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
94.4%1x
94.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory
3.9MiB live, 43.1MiB 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
Calls

3 calls:

7.0ms
x
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
94.4%1x
94.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Memory
0.0MiB live, 41.1MiB allocated
Counts
22 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
Calls

3 calls:

10.0ms
x
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
94.5%2x
94.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory
-1.7MiB live, 37.5MiB allocated
Counts
20 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
Calls

3 calls:

7.0ms
x
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
94.5%2x
94.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
94.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory
31.6MiB live, 31.6MiB allocated
Counts
16 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))))
Outputs
(/.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))))
Calls

3 calls:

5.0ms
x
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
90.1%1x
90.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory
-13.3MiB live, 26.2MiB allocated
Counts
12 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.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 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 1/12)) 1) (* x x)) 2) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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 (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
Calls

3 calls:

4.0ms
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
90.1%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.1%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.1%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory
-16.9MiB live, 22.5MiB allocated
Counts
9 → 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))))
(/.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)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x #s(approx (+ (* 1/12 (* x (* x x))) x) (*.f64 x (*.f64 (*.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 #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 (*.f64 x (*.f64 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 1/12)) 1) (* x x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
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 (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
90.1%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.1%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.1%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
4 → 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))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
79.3%1x
79.3%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
79.3%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB 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
(/.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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x 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
79.3%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
79.3%2x
79.3%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory
-29.4MiB live, 11.0MiB allocated
Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

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
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
x
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
51.8%1x
51.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
51.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
6.2540530809491076e+75
6.484891739338129e+79
Samples
2.0ms48×0valid
Compiler

Compiled 195 to 92 computations (52.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (69.1% 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)

bsearch13.0ms (0.1%)

Memory
-14.4MiB live, 25.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
8.75569738062383e+149
1.4242017982027907e+154
Samples
6.0ms128×0valid
Compiler

Compiled 332 to 187 computations (43.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.1% of total)
ival-div: 1.0ms (27.5% of total)
ival-add: 1.0ms (27.5% 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)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000000501338
107518251566.99606
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000000501338
107518251566.99606
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch15.0ms (0.2%)

Memory
30.4MiB live, 30.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.239057673213693e-5
25.40092645212136
Samples
8.0ms144×0valid
Compiler

Compiled 237 to 146 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (56.1% of total)
ival-div: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-neg: 1.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
-30.5MiB live, 8.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
2.239057673213693e-5
25.40092645212136
Samples
2.0ms32×0valid
Compiler

Compiled 228 to 146 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (83.8% 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)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.860149296376693e-11
0.999999999749331
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify12.0ms (0.1%)

Memory
27.1MiB live, 27.1MiB allocated
Algorithm
1×egg-herbie
Rules
48×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142581
1173581
2175581
3176581
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 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) 2) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.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 x) #s(literal 1/12 binary64)) 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 (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 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 (* (* x x) 1/12)) x)) 2) (*.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))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 6189700196426901/309485009821345068724781056 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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(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 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 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) 2) (*.f64 x x)))))
(if (<=.f64 x #s(literal 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) (*.f64 #s(approx (+ (* (* x x) (* x x)) 4) #s(literal 4 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) 2) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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 1 binary64) #s(approx (cosh x) #s(approx (+ (* x (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))) 1) (*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.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 x) #s(literal 1/12 binary64)) 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 (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 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 (* (* x x) 1/12)) x)) 2) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 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 (* (* 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))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 6189700196426901/309485009821345068724781056 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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

soundness1.9s (19.5%)

Memory
9.7MiB live, 1 474.2MiB allocated
Rules
17 442×lower-fma.f64
17 442×lower-fma.f32
15 580×lower-fma.f64
15 580×lower-fma.f32
11 348×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01422438
13782438
28992418
323662414
440892414
568642414
080262231
024130
037114
1149110
2959110
08325106
066283
1162282
2359278
3921278
41406278
52068278
63397278
74663278
85970278
97535278
08007256
062539
095445
1420352
22326350
08637341
045321
071285
1296283
21833283
08184274
0719
01215
14213
225713
3237013
0906413
01392424
14012392
29442334
338972332
468432332
080592164
0811226
12121192
25091188
313861184
433411184
557421184
678361184
081971094
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 660 to 307 computations (53.5% saved)

preprocess121.0ms (1.3%)

Memory
15.1MiB live, 253.1MiB allocated
Remove

(abs x)

Compiler

Compiled 724 to 218 computations (69.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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