Hyperbolic secant

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.7s (26.9%)

Memory
60.9MiB live, 1 125.3MiB allocated; 446ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 778.0ms
ival-exp: 354.0ms (45.5% of total)
ival-div: 190.0ms (24.4% of total)
ival-add: 161.0ms (20.7% of total)
ival-neg: 55.0ms (7.1% of total)
exact: 11.0ms (1.4% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain146.0ms (2.3%)

Memory
6.4MiB live, 207.1MiB allocated; 25ms 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
55.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-exp: 14.0ms (46.8% of total)
ival-div: 6.0ms (20% of total)
ival-add: 4.0ms (13.4% of total)
ival-neg: 4.0ms (13.4% of total)
ival-true: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess439.0ms (7.1%)

Memory
-7.7MiB live, 236.4MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01224
13524
27524
324224
4182724
078
0128
1238
2518
31808
49876
565056
087096
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 8 to 7 computations (12.5% saved)

series6.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB 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
2.0ms
x
@inf
((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
2.0ms
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))

rewrite362.0ms (5.8%)

Memory
-6.4MiB live, 181.3MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091297
1537274
04697254
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
32 → 86
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
2
(+ (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg 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 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.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)))

eval25.0ms (0.4%)

Memory
-26.7MiB live, 18.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 1 126 to 313 computations (72.2% saved)

prune7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686
Accuracy
100.0%
Counts
86 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.9%
(/.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))
53.0%
(*.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)))
▶53.6%
#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)))
▶53.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶54.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 158 to 116 computations (26.6% saved)

series15.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms 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
6.0ms
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)
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
@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)

rewrite416.0ms (6.7%)

Memory
-11.4MiB live, 225.3MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135729
1694697
05731629
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
62 → 290
Calls
Call 1
Inputs
(/ 1 (cosh x))
1
(cosh x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ (* (* x x) -1/2) 1)))
(+ (* (* x x) -1/2) 1)
(* x x)
-1/2
(/ 2 #s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (* x x) 2))))
2
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (* x x) 2)))
(+ (* x x) 2)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1)))
(+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1)
(- (* 5/24 (* x x)) 1/2)
(* 5/24 (* x x))
5/24
1/2
#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 #s(literal 2 binary64) (cosh.f64 x)) (*.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 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.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 #s(literal 2 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 #s(literal 2 binary64) (cosh.f64 x)))
(/.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 -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))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #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 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.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 #s(literal 2 binary64) (cosh.f64 x)) (*.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 #s(literal 2 binary64) (cosh.f64 x)) (*.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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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 (*.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 (/ 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 (/.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 #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 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 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))))
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(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))))
(/.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 (/ 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 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (/ 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 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #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 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* 5/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 #s(literal 2 binary64) (cosh.f64 x)))
#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 (/ 2 (+ (exp x) (exp (neg x)))) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))

eval77.0ms (1.2%)

Memory
26.0MiB live, 123.0MiB allocated; 22ms collecting garbage
Compiler

Compiled 7 662 to 1 164 computations (84.8% saved)

prune30.0ms (0.5%)

Memory
-32.8MiB live, 57.4MiB allocated; 13ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3705375
Fresh011
Picked145
Done000
Total37110381
Accuracy
100.0%
Counts
381 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶27.5%
(/.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))
▶93.6%
(/.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))))
▶90.5%
(/.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))))
53.0%
(*.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)))
▶53.7%
#s(approx (/ 2 (+ (exp x) (exp (neg 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)))
▶53.6%
#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)))
✓53.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓54.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 274 to 182 computations (33.6% saved)

series20.0ms (0.3%)

Memory
42.0MiB live, 42.0MiB allocated; 0ms collecting garbage
Counts
29 → 84
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))
#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 (/ 2 (+ (exp x) (exp (neg 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)
(/.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))))
#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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (+ (* (+ (* (+ (* 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) 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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (+ (* (+ (* (+ (* 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) 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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 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
7.0ms
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)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 2 (+ (exp x) (exp (neg 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 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
6.0ms
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)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 2 (+ (exp x) (exp (neg 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 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))
5.0ms
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)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) 5/24 -1/2 (/ 2 (+ (exp x) (exp (neg 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 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2))

rewrite588.0ms (9.5%)

Memory
1.3MiB live, 380.6MiB allocated; 126ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02341931
111731925
085531709
Stop Event
1×iter limit
1×node limit
Counts
113 → 450
Calls
Call 1
Inputs
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1))))
1
#s(approx (cosh x) #s(hole binary64 (+ (* (+ (* (+ (* 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)
(+ (* (+ (* 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 #s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 #s(approx (+ (* x x) 2) #s(hole binary64 (* x x))))))
2
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 #s(approx (+ (* x x) 2) #s(hole binary64 (* x x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (* x x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1)))
(+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1)
(+ (* (* x x) 5/24) -1/2)
5/24
-1/2
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1)))
(+ (* (+ (* (+ (* -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
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1))))
#s(approx (cosh x) #s(hole binary64 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)))
(+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)
(+ (* 1/24 (* x x)) 1/2)
#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) 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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (+ (* (+ (* (+ (* 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) 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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 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 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #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 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #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 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #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 #s(literal 1/720 binary64) 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 (*.f64 #s(literal 1/720 binary64) x) x #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #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 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 x x) #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))))))
(-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 2 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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #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 #s(literal 1/720 binary64) x) x #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 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
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(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 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 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) #s(literal -1/2 binary64))) #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 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #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 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #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 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx 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)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) #s(literal -1/2 binary64))) #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 (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 5/24) -1/2) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 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 (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64))
#s(approx (+ (* -61/720 (* x x)) 5/24) (fma.f64 (*.f64 #s(literal -61/720 binary64) x) x #s(literal 5/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 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 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.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 (*.f64 x x) #s(literal 1/720 binary64)))
#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 (/ 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)))
#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 (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/24 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -5/24 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 5/24) -1/2) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (+ (* (* x x) 5/24) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) x))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -61/720 binary64)))
#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 (*.f64 x x) #s(literal -61/720 binary64)))
#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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* x x)) 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 (/ 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)))

eval278.0ms (4.5%)

Memory
-12.0MiB live, 218.8MiB allocated; 96ms collecting garbage
Compiler

Compiled 22 198 to 3 022 computations (86.4% saved)

prune110.0ms (1.8%)

Memory
16.9MiB live, 73.3MiB allocated; 16ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New8095814
Fresh011
Picked055
Done044
Total80915824
Accuracy
100.0%
Counts
824 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.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))
✓93.6%
(/.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))))
▶93.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶93.3%
(/.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))))
✓90.5%
(/.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))))
▶90.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
▶90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
▶93.6%
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
53.0%
(*.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)))
✓53.7%
#s(approx (/ 2 (+ (exp x) (exp (neg 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)))
✓53.6%
#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)))
✓53.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓54.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 436 to 265 computations (39.2% saved)

series37.0ms (0.6%)

Memory
-11.8MiB live, 33.1MiB allocated; 15ms collecting garbage
Counts
39 → 109
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/720 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 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))))
#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 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
Outputs
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 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 (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (+ 1/2 (* 1/720 (pow x 4)))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* 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 (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 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) (* 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) 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) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* 1/720 x) x) 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 (* 1/720 x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 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 (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 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 (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* 1/24 x) x) 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 (+ (* 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) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* 1/720 x) x) 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)))))))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@0
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (* x x) x (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (* 1/24 x) 1/24 (+ (* (pow x 4) 1/720) 1/2) (pow x 4) 4 1/720 1/2 1 -1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 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) (+ (* 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) x) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))
9.0ms
x
@-inf
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (* x x) x (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (* 1/24 x) 1/24 (+ (* (pow x 4) 1/720) 1/2) (pow x 4) 4 1/720 1/2 1 -1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 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) (+ (* 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) x) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))
9.0ms
x
@inf
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (* x x) x (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (* 1/24 x) 1/24 (+ (* (pow x 4) 1/720) 1/2) (pow x 4) 4 1/720 1/2 1 -1/2 (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 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) (+ (* 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) x) (+ (* (* 1/720 x) x) 1/24) (* 1/720 x))

rewrite287.0ms (4.6%)

Memory
-11.1MiB live, 78.5MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672690
012502388
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
148 → 281
Calls
Call 1
Inputs
(* (pow #s(approx (cosh x) #s(hole binary64 (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1))) -1/2) (pow #s(approx (cosh x) #s(hole binary64 (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1))) -1/2))
(pow #s(approx (cosh x) #s(hole binary64 (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1))) -1/2)
#s(approx (cosh x) #s(hole binary64 (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1)))
(+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1)
(* x x)
x
(+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))
(* 1/24 x)
1/24
(+ (* (pow x 4) 1/720) 1/2)
(pow x 4)
4
1/720
1/2
1
-1/2
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* #s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (* x x) 1/24))) (* x x)) 1))))
#s(approx (cosh x) #s(hole binary64 (+ (* #s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (* x x) 1/24))) (* x x)) 1)))
(+ (* #s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (* x x) 1/24))) (* x x)) 1)
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (* x x) 1/24)))
(* (* x x) 1/24)
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1))))
#s(approx (cosh x) #s(hole binary64 (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1)))
(+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1)
(* (+ (* (* 1/24 x) x) 1/2) x)
(+ (* (* 1/24 x) x) 1/2)
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* (+ (* #s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (* x x) 1/720))) (* x x)) 1/2) (* x x)) 1))))
#s(approx (cosh x) #s(hole binary64 (+ (* (+ (* #s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (* x x) 1/720))) (* x x)) 1/2) (* x x)) 1)))
(+ (* (+ (* #s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (* x x) 1/720))) (* x x)) 1/2) (* x x)) 1)
(+ (* #s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (* x x) 1/720))) (* x x)) 1/2)
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (* x x) 1/720)))
(* (* x x) 1/720)
(/ 1 #s(approx (cosh x) #s(hole binary64 (+ (* (+ (* (* (+ (* (* 1/720 x) x) 1/24) x) x) 1/2) (* x x)) 1))))
#s(approx (cosh x) #s(hole binary64 (+ (* (+ (* (* (+ (* (* 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)
(+ (* (* (+ (* (* 1/720 x) x) 1/24) x) x) 1/2)
(* (+ (* (* 1/720 x) x) 1/24) x)
(+ (* (* 1/720 x) x) 1/24)
(* 1/720 x)
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 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 (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (+ 1/2 (* 1/720 (pow x 4)))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* 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 (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 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) (* 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) 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) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* 1/720 x) x) 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 (* 1/720 x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 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 (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/2 (/ 1 (pow x 4)))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 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 (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 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 (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* 1/24 x) x) 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 (+ (* 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) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* 1/720 x) x) 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)))))))
Outputs
(*.f64 (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
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#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) #s(literal 1/2 binary64))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* (pow x 4) 1/720) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (pow x 4) 1/720) 1/2) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 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 (-.f64 (*.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 (-.f64 (*.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 (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* 1/24 x) x) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* 1/24 x) x) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(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 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/720 x) x) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (* 1/720 x) x) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (* x x) 1/720) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(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 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* 1/720 x) x) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* (* 1/720 x) x) 1/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* 1/720 x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
#s(approx (pow (cosh x) -1/2) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1 binary64)))))
#s(approx (cosh x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* x x) (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2))) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* 1/24 x) x) (+ (* (pow x 4) 1/720) 1/2)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.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 (+ (* (pow x 4) 1/720) 1/2) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (pow x 4) 1/720) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 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 (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
#s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 1/2) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* 1/24 x) x) 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 (* (+ (* (* 1/24 x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* 1/24 x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64))))
#s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
#s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 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) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.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 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 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) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.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) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (* 1/720 x) x) 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 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (*.f64 x x)))

eval267.0ms (4.3%)

Memory
5.6MiB live, 80.5MiB allocated; 185ms collecting garbage
Compiler

Compiled 15 584 to 1 480 computations (90.5% saved)

prune79.0ms (1.3%)

Memory
-28.8MiB live, 66.3MiB allocated; 42ms collecting garbage
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New4317438
Fresh011
Picked325
Done099
Total43419453
Accuracy
100.0%
Counts
453 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.6%
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓77.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.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))
93.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓93.6%
(/.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))))
93.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓93.3%
(/.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))))
93.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
90.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x)) x #s(literal 1 binary64))))
✓90.5%
(/.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))))
90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
✓90.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
56.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) #s(literal 1 binary64)))))
53.0%
(*.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)))
✓53.7%
#s(approx (/ 2 (+ (exp x) (exp (neg 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)))
✓53.6%
#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)))
✓53.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓54.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 937 to 404 computations (56.9% saved)

regimes31.0ms (0.5%)

Memory
6.3MiB live, 50.9MiB allocated; 8ms 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))))
#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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (*.f64 #s(literal 1/24 binary64) 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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) 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 #s(literal 1/720 binary64) x) x)) (*.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 #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 (fma.f64 (*.f64 #s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) 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 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #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 x #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.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 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

12.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms
x
6.0ms
(+.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)

regimes27.0ms (0.4%)

Memory
-14.0MiB live, 41.4MiB allocated; 13ms collecting garbage
Counts
19 → 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))))
#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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (*.f64 #s(literal 1/24 binary64) 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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) 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 #s(literal 1/720 binary64) x) x)) (*.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 #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 (fma.f64 (*.f64 #s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) 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 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #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 x #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))) #s(literal 1 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Calls

3 calls:

13.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms
x
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
93.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes22.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Counts
15 → 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))))
#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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (*.f64 #s(literal 1/24 binary64) 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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) 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 #s(literal 1/720 binary64) x) x)) (*.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 #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 (fma.f64 (*.f64 #s(approx (+ (* (* 1/720 x) x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) 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 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
x
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
93.3%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.3%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.3%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes209.0ms (3.4%)

Memory
-29.6MiB live, 17.3MiB allocated; 3ms 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))))
#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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (*.f64 #s(literal 1/24 binary64) 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 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x)) x #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

196.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms
x
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
90.5%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.5%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.5%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes13.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms 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))))
#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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 x) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) x #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg 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 (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
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)

regimes10.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
6 → 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))))
#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))) (fma.f64 x x #s(literal 2 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
77.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
77.9%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes114.0ms (1.8%)

Memory
-33.1MiB live, 14.0MiB allocated; 3ms 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
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
Calls

3 calls:

108.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
77.8%2x
77.8%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.8%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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

2.0ms
x
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
54.0%1x
54.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
54.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.993523955407223
Compiler

Compiled 11 to 11 computations (0% saved)

simplify115.0ms (1.8%)

Memory
-11.6MiB live, 121.6MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063159
190159
2186159
3533159
42196151
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

derivations718.0ms (11.6%)

Memory
7.0MiB live, 435.8MiB allocated; 174ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 159 to 67 computations (57.9% saved)

preprocess70.0ms (1.1%)

Memory
47.5MiB live, 90.8MiB allocated; 27ms collecting garbage
Remove

(abs x)

Compiler

Compiled 342 to 156 computations (54.4% saved)

end0.0ms (0%)

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

Profiling

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