Hyperbolic secant

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample713.0ms (20%)

Memory
10.0MiB live, 661.6MiB allocated; 130ms collecting garbage
Samples
468.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 315.0ms
ival-exp: 159.0ms (50.5% of total)
ival-div!: 79.0ms (25.1% of total)
ival-neg: 55.0ms (17.5% of total)
ival-add!: 21.0ms (6.7% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain108.0ms (3%)

Memory
7.2MiB live, 64.1MiB allocated; 65ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (53% of total)
ival-neg: 2.0ms (15.1% of total)
ival-div!: 2.0ms (15.1% of total)
ival-add!: 1.0ms (7.6% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (0.8%)

Memory
-22.0MiB live, 26.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
13524
27524
324224
4182724
Stop Event
node-limit
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))))
Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
7 → 25
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
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

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

rewrite183.0ms (5.1%)

Memory
-8.4MiB live, 133.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096338
0103297
1549274
04704254
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 86
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)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.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) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval7.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 070 to 311 computations (70.9% saved)

prune5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679
Accuracy
100.0%
Counts
79 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(/.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))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
46.2%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 178 to 138 computations (22.5% saved)

series10.0ms (0.3%)

Memory
-33.2MiB live, 13.4MiB allocated; 3ms collecting garbage
Counts
19 → 43
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(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 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))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)
3.0ms
x
@inf
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)
2.0ms
x
@0
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)

rewrite206.0ms (5.8%)

Memory
51.4MiB live, 141.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143770
0158699
1721665
05758629
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
62 → 290
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(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 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))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 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) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
x
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 5/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 125/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 5/24 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)))
(*.f64 x (*.f64 #s(literal 5/24 binary64) x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (exp x) (exp (neg x))) #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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 5/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/24 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 5/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 5/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 5/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 5/24 binary64)) x) x))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval45.0ms (1.3%)

Memory
-35.2MiB live, 55.4MiB allocated; 17ms collecting garbage
Compiler

Compiled 7 225 to 1 162 computations (83.9% saved)

prune9.0ms (0.3%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3416347
Fresh101
Picked145
Done000
Total34310353
Accuracy
100.0%
Counts
353 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
29.0%
(/.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))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
85.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
46.2%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
45.9%
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 264 to 180 computations (31.8% saved)

series10.0ms (0.3%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
29 → 82
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 2))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 5/24))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (+ 5/24 (* -61/720 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* -61/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* -61/720 (pow x 2))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ 1 (cosh x)) 1 (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (+ (* x x) 1) 1) (+ (* x x) 1) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 1 (cosh x)) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) -61/720)
3.0ms
x
@0
((/ 1 (cosh x)) 1 (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (+ (* x x) 1) 1) (+ (* x x) 1) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 1 (cosh x)) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) -61/720)
3.0ms
x
@-inf
((/ 1 (cosh x)) 1 (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (+ (* x x) 1) 1) (+ (* x x) 1) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 1 (cosh x)) (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (+ (* -61/720 (* x x)) 5/24) -61/720)

rewrite1.2s (32.9%)

Memory
-163.6MiB live, 230.4MiB allocated; 1.4s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371773
02701633
112081613
085061573
Stop Event
iter-limit
node-limit
iter-limit
Counts
111 → 549
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 2))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 5/24))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (+ 5/24 (* -61/720 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x x) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* -61/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* -61/720 (pow x 2))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (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))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))))
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#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64)) #s(literal 61/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64)) #s(literal 61/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/24 binary64)) #s(literal 61/720 binary64)) x) x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))

eval115.0ms (3.2%)

Memory
-2.3MiB live, 143.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 20 874 to 3 171 computations (84.8% saved)

prune24.0ms (0.7%)

Memory
-8.2MiB live, 38.4MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New7725777
Fresh101
Picked145
Done044
Total77413787
Accuracy
100.0%
Counts
787 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
29.0%
(/.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))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
85.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
90.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
46.2%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
45.9%
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 356 to 233 computations (34.6% saved)

series10.0ms (0.3%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Counts
34 → 93
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #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) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* (* x x) 1/720) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* 1/720 x) #s(hole binary64 (* 1/720 x)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ 1 (cosh x)) 1 (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (* (+ (* (* x x) 1/720) 1/24) x) x) (* (+ (* (* x x) 1/720) 1/24) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) (* (* x x) 1/720) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))
3.0ms
x
@inf
((/ 1 (cosh x)) 1 (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (* (+ (* (* x x) 1/720) 1/24) x) x) (* (+ (* (* x x) 1/720) 1/24) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) (* (* x x) 1/720) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))
2.0ms
x
@0
((/ 1 (cosh x)) 1 (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (* (+ (* (* x x) 1/720) 1/24) x) x) (* (+ (* (* x x) 1/720) 1/24) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) (* (* x x) 1/720) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))

rewrite235.0ms (6.6%)

Memory
-31.4MiB live, 205.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412452
02912295
111442288
076722241
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
127 → 684
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.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 x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #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) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* (* x x) 1/720) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* 1/720 x) #s(hole binary64 (* 1/720 x)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))))
Outputs
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x))
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#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (* x x) 1/720) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* 1/720 x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval115.0ms (3.2%)

Memory
-5.9MiB live, 86.9MiB allocated; 13ms collecting garbage
Compiler

Compiled 22 858 to 3 404 computations (85.1% saved)

prune20.0ms (0.6%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New7116717
Fresh000
Picked415
Done088
Total71515730
Accuracy
100.0%
Counts
730 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
71.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
29.0%
(/.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))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64))))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
90.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
85.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
84.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
45.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
46.2%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
45.9%
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 812 to 350 computations (56.9% saved)

regimes16.0ms (0.5%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x 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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

6.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes28.0ms (0.8%)

Memory
-30.3MiB live, 16.4MiB allocated; 2ms collecting garbage
Counts
21 → 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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x 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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

19.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
90.2%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.2%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.2%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.3%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x 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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

4.0ms
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
90.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.3%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
14 → 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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x 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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
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
89.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes9.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
12 → 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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
85.3%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
85.3%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
85.3%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes13.0ms (0.4%)

Memory
-36.7MiB live, 10.2MiB allocated; 2ms collecting garbage
Counts
9 → 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 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))))
Calls

3 calls:

9.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
84.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
84.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
84.8%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #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) 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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
71.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
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 (*.f64 x x) #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) 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
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
71.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
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 (*.f64 x x) #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) 2) (*.f64 x x))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #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) 2) (*.f64 x x))))
Calls

3 calls:

1.0ms
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
71.7%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.7%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.7%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

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

3 calls:

1.0ms
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
46.2%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
46.2%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
46.2%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch12.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.1341060056121008
19536.43400689832
Samples
6.0ms128×0valid
Compiler

Compiled 275 to 227 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (75.1% of total)
ival-neg: 1.0ms (25% of total)
ival-div!: 1.0ms (25% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations378.0ms (10.6%)

Memory
-17.7MiB live, 171.5MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 223 to 74 computations (66.8% saved)

preprocess48.0ms (1.4%)

Memory
25.9MiB live, 72.6MiB allocated; 19ms collecting garbage
Remove

(abs x)

Compiler

Compiled 677 to 371 computations (45.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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