exp2 (problem 3.3.7)

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.6s (75.4%)

Memory
8.7MiB live, 3 270.0MiB allocated; 1.6s collecting garbage
Samples
2.8s5 724×2valid
436.0ms2 390×1valid
7.0ms142×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-exp: 2.4s (80.9% of total)
adjust: 399.0ms (13.7% of total)
ival-sub!: 71.0ms (2.4% of total)
ival-add!: 54.0ms (1.8% of total)
ival-neg: 35.0ms (1.2% of total)
Bogosity

preprocess30.0ms (0.6%)

Memory
-17.3MiB live, 25.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01225
14824
215324
376424
4276318
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
7 → 24
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

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

rewrite155.0ms (3.3%)

Memory
31.2MiB live, 182.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090312
098304
1569289
05001259
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
31 → 118
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))) (+.f64 (exp.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (exp.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 x)))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (cosh.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))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))
(neg.f64 (neg.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(/.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 (exp.f64 (+.f64 x (neg.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 2 binary64)
(*.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 (exp.f64 (+.f64 x (neg.f64 x))) (exp.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 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (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 (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 (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval12.0ms (0.3%)

Memory
-20.4MiB live, 24.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 977 to 387 computations (60.4% saved)

prune6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1056111
Fresh000
Picked101
Done000
Total1066112
Accuracy
100.0%
Counts
112 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
58.1%
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
57.7%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
99.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 144 to 134 computations (6.9% saved)

series15.0ms (0.3%)

Memory
-16.9MiB live, 28.6MiB allocated; 5ms collecting garbage
Counts
27 → 97
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
#s(literal -2 binary64)
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 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 (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (* (cosh x) 2) -2) (cosh x) 2 -2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))
4.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (* (cosh x) 2) -2) (cosh x) 2 -2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))
3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (* (cosh x) 2) -2) (cosh x) 2 -2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))

rewrite190.0ms (4%)

Memory
19.9MiB live, 249.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912244
03232106
114992106
081912053
Stop Event
iter-limit
node-limit
iter-limit
Counts
124 → 486
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
#s(literal -2 binary64)
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 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 (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))
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#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x)
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (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 (+ (* (cosh x) 2) -2) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (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 (- (exp (neg x)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (neg x) (neg.f64 x))
#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 (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) #s(literal 1/20160 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/20160 binary64)) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)) (*.f64 x x))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))

eval54.0ms (1.1%)

Memory
7.2MiB live, 110.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 422 to 2 426 computations (62.2% saved)

prune13.0ms (0.3%)

Memory
-11.4MiB live, 35.3MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5054509
Fresh011
Picked145
Done000
Total5069515
Accuracy
100.0%
Counts
515 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
57.2%
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
58.1%
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
6.4%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
57.7%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
99.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 165 to 154 computations (6.7% saved)

series16.0ms (0.3%)

Memory
-10.0MiB live, 36.9MiB allocated; 1ms collecting garbage
Counts
32 → 100
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
x
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 4 binary64)
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 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 (+ (* 1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (exp x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#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 (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* 4 x)))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 -3))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* 2 x) 3)))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* x (+ 2 (* 2 x))) 3)))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 3))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 x)))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 (* x (+ 1 (* 1/2 x))))))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp x) 2) #s(hole binary64 3))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 x)))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 3))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* 4 x))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* x (+ 4 (* 3 x))))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (- 1 (exp x)) #s(hole binary64 (- 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (exp (* 2 x)) 4)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 2 (exp x))))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 2 (exp x))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (* (exp x) (+ 2 (exp x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (exp (neg (* -2 x))) 4)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) 1/2 1 2 -2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) (exp x) (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (- (exp (+ x x)) 4) (exp (+ x x)) (+ x x) 4 (* (+ (exp x) 2) 1) (+ (exp x) 2) (* (+ (exp x) 2) (exp x)))
4.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) 1/2 1 2 -2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) (exp x) (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (- (exp (+ x x)) 4) (exp (+ x x)) (+ x x) 4 (* (+ (exp x) 2) 1) (+ (exp x) 2) (* (+ (exp x) 2) (exp x)))
3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* x x) 1/12) (* x x))) x (* (* (* x x) 1/12) (* x x)) (* (* x x) 1/12) (* x x) 1/12 (+ (* (cosh x) 2) -2) (cosh x) (+ (* 1/2 (* x x)) 1) 1/2 1 2 -2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) (exp x) (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (- (exp (+ x x)) 4) (exp (+ x x)) (+ x x) 4 (* (+ (exp x) 2) 1) (+ (exp x) 2) (* (+ (exp x) 2) (exp x)))

rewrite182.0ms (3.9%)

Memory
33.2MiB live, 170.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03201871
03641714
118371649
085591549
Stop Event
iter-limit
node-limit
iter-limit
Counts
132 → 497
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
x
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 4 binary64)
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 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 (+ (* 1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (exp x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (- 1 (exp x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#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 (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* 4 x)))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 -3))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* 2 x) 3)))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* x (+ 2 (* 2 x))) 3)))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 3))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 x)))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 (* x (+ 1 (* 1/2 x))))))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp x) 2) #s(hole binary64 3))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 x)))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 3))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* 4 x))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* x (+ 4 (* 3 x))))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (+ 3 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (cosh x) 2) -2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* 1/12 x) x) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (- 1 (exp x)) #s(hole binary64 (- 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (exp (* 2 x)) 4)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (* (+ (exp x) 2) 1) #s(hole binary64 (+ 2 (exp x))))
#s(approx (+ (exp x) 2) #s(hole binary64 (+ 2 (exp x))))
#s(approx (* (+ (exp x) 2) (exp x)) #s(hole binary64 (* (exp x) (+ 2 (exp x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) #s(hole binary64 (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) #s(hole binary64 (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))))
#s(approx (- (exp (+ x x)) 4) #s(hole binary64 (- (exp (neg (* -2 x))) 4)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x))
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 #s(literal 1/12 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/12 binary64) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)))))
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(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 8 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 x) (exp.f64 (+.f64 x x)))
(fma.f64 (exp.f64 x) #s(literal 2 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 x x))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 x x))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx x x)
#s(approx (* (* (* x x) 1/12) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (* (* x x) 1/12) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 x x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (cosh x) 2) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#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 (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 x x))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (* (* 1/12 x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* 1/12 x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 x x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (- 1 (exp x)) (neg.f64 x))
#s(approx (- 1 (exp x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- 1 (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- 1 (exp x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#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 (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 x x))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 13/4 binary64) x #s(literal 4 binary64)) x #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 13/4 binary64)) x #s(literal 4 binary64)) x #s(literal 3 binary64))))
#s(approx (- (exp (+ x x)) 4) #s(literal -3 binary64))
#s(approx (- (exp (+ x x)) 4) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
#s(approx (- (exp (+ x x)) 4) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal -3 binary64)))
#s(approx (- (exp (+ x x)) 4) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal -3 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (+ (exp x) 2) 1) #s(literal 3 binary64))
#s(approx (* (+ (exp x) 2) 1) (+.f64 #s(literal 3 binary64) x))
#s(approx (* (+ (exp x) 2) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)))
#s(approx (* (+ (exp x) 2) 1) (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 3 binary64)))
#s(approx (* (+ (exp x) 2) 1) #s(literal 3 binary64))
#s(approx (* (+ (exp x) 2) 1) (+.f64 #s(literal 3 binary64) x))
#s(approx (* (+ (exp x) 2) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64)))
#s(approx (* (+ (exp x) 2) 1) (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 3 binary64)))
#s(approx (* (+ (exp x) 2) (exp x)) #s(literal 3 binary64))
#s(approx (* (+ (exp x) 2) (exp x)) (fma.f64 #s(literal 4 binary64) x #s(literal 3 binary64)))
#s(approx (* (+ (exp x) 2) (exp x)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal 3 binary64)))
#s(approx (* (+ (exp x) 2) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/3 binary64) x #s(literal 3 binary64)) x #s(literal 4 binary64)) x #s(literal 3 binary64)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (cosh x) 2) -2) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (+ (* x x) (* (* (* x x) 1/12) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (* 1/12 x) x) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* 1/12 x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- 1 (exp x)) (neg.f64 (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
#s(approx (- (exp (+ x x)) 4) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (* (+ (exp x) 2) 1) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(approx (* (+ (exp x) 2) 1) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(approx (* (+ (exp x) 2) (exp x)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (/ (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (* (+ (exp x) 2) (exp x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (+ (* (- (exp (+ x x)) 4) (exp x)) (* (+ (exp x) 2) 1)) (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
#s(approx (- (exp (+ x x)) 4) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval83.0ms (1.8%)

Memory
-36.2MiB live, 65.4MiB allocated; 39ms collecting garbage
Compiler

Compiled 6 135 to 1 941 computations (68.4% saved)

prune9.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4881489
Fresh000
Picked235
Done134
Total4917498
Accuracy
100.0%
Counts
498 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
57.2%
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
59.2%
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
99.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 78 to 76 computations (2.6% saved)

series2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Counts
6 → 24
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
Outputs
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (- 1 (exp x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg x) x (neg (- (exp x) 1)) (- (exp x) 1))
0.0ms
x
@inf
((- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg x) x (neg (- (exp x) 1)) (- (exp x) 1))
0.0ms
x
@0
((- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (- (exp (neg x)) 1) (neg x) x (neg (- (exp x) 1)) (- (exp x) 1))

rewrite166.0ms (3.5%)

Memory
23.6MiB live, 113.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115326
0123307
1713307
06301274
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 156
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (neg x)) 1)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (- 1 (exp x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)) (-.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (expm1.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (+.f64 x x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (+.f64 x x))))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (expm1.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))))
(neg.f64 (+.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 x))))
(neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (cosh.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))) (-.f64 (exp.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))) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))
(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))) (+.f64 (exp.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))) (+.f64 #s(literal -1 binary64) (expm1.f64 x)))
(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))) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (expm1.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (expm1.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))) (/.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))))
(-.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (expm1.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))))) (/.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (expm1.f64 x)) (-.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))))))
(-.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(+.f64 (+.f64 (expm1.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1 binary64))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (expm1.f64 x) (expm1.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(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))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(expm1.f64 (neg.f64 x))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(neg.f64 (expm1.f64 x))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (*.f64 x x))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (neg (- (exp x) 1)) (neg.f64 x))
#s(approx (neg (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (neg (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (neg (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (neg (- (exp x) 1)) (neg.f64 (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (- (exp (neg x)) 1) (neg (- (exp x) 1))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))

eval30.0ms (0.6%)

Memory
-20.4MiB live, 25.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 383 to 502 computations (63.7% saved)

prune7.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1471148
Fresh000
Picked101
Done066
Total1487155
Accuracy
100.0%
Counts
155 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
57.2%
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
59.2%
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
99.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 171 to 139 computations (18.7% saved)

regimes31.0ms (0.7%)

Memory
-24.0MiB live, 28.1MiB allocated; 7ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x))
Calls

2 calls:

26.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
3.0ms
x
Results
AccuracySegmentsBranch
99.9%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.9%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
-30.4MiB live, 16.8MiB allocated; 1ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
Calls

2 calls:

2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Accuracy

Total -27.0b remaining (-5773.3%)

Threshold costs -27b (-5773.3%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

derivations102.0ms (2.2%)

Memory
-22.3MiB live, 118.5MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 48 to 32 computations (33.3% saved)

preprocess41.0ms (0.9%)

Memory
40.9MiB live, 133.9MiB allocated; 6ms collecting garbage
Remove

(abs x)

Compiler

Compiled 207 to 184 computations (11.1% saved)

end0.0ms (0%)

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

Profiling

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