exp2 (problem 3.3.7)

Time bar (total: 4.0s)

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)

sample2.6s (66.5%)

Memory
30.3MiB live, 1 767.0MiB allocated; 388ms collecting garbage
Samples
2.0s5 692×2valid
276.0ms2 417×1valid
7.0ms147×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 1.6s (77.5% of total)
adjust: 322.0ms (15.6% of total)
ival-sub!: 61.0ms (2.9% of total)
ival-add!: 48.0ms (2.3% of total)
ival-neg: 34.0ms (1.6% of total)
Bogosity

preprocess87.0ms (2.2%)

Memory
-15.6MiB live, 28.2MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01225
14025
211819
354618
4717818
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(+.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
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
7 → 23
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 (* -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))

rewrite158.0ms (4%)

Memory
23.2MiB live, 166.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089307
097299
1545284
04595263
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 100
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 (* -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 (-.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 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 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.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 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.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 (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 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 x) #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 (-.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 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 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 x) #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 (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #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))))
(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 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (-.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 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.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 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.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 #s(literal 2 binary64) (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)) (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 #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))))
(-.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 (cosh.f64 x) (-.f64 (sinh.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 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.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 (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 (-.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 #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 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.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 #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)) (-.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))) (-.f64 (*.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))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval11.0ms (0.3%)

Memory
-24.9MiB live, 21.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 871 to 342 computations (60.7% saved)

prune3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87592
Fresh000
Picked101
Done000
Total88593
Accuracy
100.0%
Counts
93 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
49.4%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
99.4%
#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))
99.4%
#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))
98.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 104 to 102 computations (1.9% saved)

series11.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
24 → 58
Calls
Call 1
Inputs
#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))
(*.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)
(*.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)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#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))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#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 (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 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 (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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) #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 (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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 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) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#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 (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#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
4.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 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) (cosh x) 2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))
3.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 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) (cosh x) 2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))
2.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (* x x) x 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) (cosh x) 2 (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) (exp x))

rewrite156.0ms (3.9%)

Memory
10.9MiB live, 155.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191170
02481105
112181100
084851063
Stop Event
iter-limit
node-limit
iter-limit
Counts
82 → 589
Calls
Call 1
Inputs
#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))
(*.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)
(*.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)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#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))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#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 (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 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 (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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) #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 (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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 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) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#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 (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
#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 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.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) 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))
(*.f64 (*.f64 x x) (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 (*.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))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (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 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (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 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (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 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))
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#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (*.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) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.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) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) 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 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #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))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 5 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)))

eval83.0ms (2.1%)

Memory
4.9MiB live, 50.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 623 to 2 188 computations (67% saved)

prune28.0ms (0.7%)

Memory
-29.5MiB live, 18.1MiB allocated; 1ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5986604
Fresh000
Picked145
Done000
Total59910609
Accuracy
100.0%
Counts
609 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
7.0%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
47.3%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
48.2%
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.4%
#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))
99.4%
#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))
48.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
98.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 187 to 184 computations (1.6% saved)

series8.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
23 → 32
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.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))
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
#s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
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 #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) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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 (- (- (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 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 (+ (* 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) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#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 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#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 (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
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 x) 1/12) (* x x) 1/12 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) -1 (exp x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1)
3.0ms
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 x) 1/12) (* x x) 1/12 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) -1 (exp x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1)
2.0ms
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 x) 1/12) (* x x) 1/12 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) -1 (exp x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1)

rewrite295.0ms (7.4%)

Memory
-38.7MiB live, 277.2MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139691
0157641
1833578
06487554
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
55 → 381
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.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))
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
#s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#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 #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) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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 (- (- (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 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 (+ (* 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) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#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 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (neg x)) 2)))
#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 (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
Outputs
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
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(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x) (*.f64 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 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x)) x (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(fma.f64 x x (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x))))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x) x))
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) x)) x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/12 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/12 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (-.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(literal 1 binary64)
#s(approx (- (* (cosh x) 2) 2) (*.f64 x x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (* (cosh x) 2) 2) (*.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 (- (* (cosh x) 2) 2) (*.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 x x)
#s(approx (* (* (* (* x x) 1/12) x) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (* x x) 1/12) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x)))
#s(approx (* (* x x) 1/12) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.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(literal 2 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#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 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 (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* x x) (* (* (* (* x x) 1/12) x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.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)))

eval37.0ms (0.9%)

Memory
11.1MiB live, 55.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 3 567 to 1 345 computations (62.3% saved)

prune8.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3471348
Fresh011
Picked145
Done044
Total34810358
Accuracy
100.0%
Counts
358 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
7.0%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
47.3%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
48.2%
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
48.2%
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.4%
#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))
99.4%
#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))
98.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 114 to 111 computations (2.6% saved)

series5.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
13 → 28
Calls
Call 1
Inputs
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x x)
x
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(-.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))
#s(literal 1 binary64)
(exp.f64 x)
Outputs
#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 x #s(hole binary64 x))
#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 (* (* x x) 1/12) #s(hole binary64 (* 1/12 (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 (- 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 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 (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (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 (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)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (* (cosh x) 2) 2) (* (* x x) (+ (* 1/12 (* x x)) 1)) (* x x) x (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) 1/12 (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) 1 (exp x))
2.0ms
x
@inf
((- (* (cosh x) 2) 2) (* (* x x) (+ (* 1/12 (* x x)) 1)) (* x x) x (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) 1/12 (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) 1 (exp x))
1.0ms
x
@0
((- (* (cosh x) 2) 2) (* (* x x) (+ (* 1/12 (* x x)) 1)) (* x x) x (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) 1/12 (- (- (exp (neg x)) 1) (- 1 (exp x))) (- (exp (neg x)) 1) (neg x) (- 1 (exp x)) 1 (exp x))

rewrite186.0ms (4.7%)

Memory
-12.8MiB live, 174.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137479
0150457
1768445
06155415
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
41 → 195
Calls
Call 1
Inputs
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x x)
x
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(-.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))
#s(literal 1 binary64)
(exp.f64 x)
#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 x #s(hole binary64 x))
#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 (* (* x x) 1/12) #s(hole binary64 (* 1/12 (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 (- 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 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 (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (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 (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)))
Outputs
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.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 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -1 binary64) (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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/12 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/12 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 2 binary64))
#s(literal 1/12 binary64)
(/.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.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 2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.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 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.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)) (-.f64 #s(literal 1 binary64) (exp.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)) (-.f64 #s(literal 1 binary64) (exp.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))) (-.f64 #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))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
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(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (neg.f64 x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (neg.f64 x)))))
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(-.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.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))))
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(/.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 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 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))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(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 (exp.f64 (neg.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 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.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 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (-.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))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 x x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp 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 (neg x)) 1) (- 1 (exp 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 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 (* (* x x) 1/12) (*.f64 (*.f64 x x) #s(literal 1/12 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 (-.f64 (*.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 (- 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 (-.f64 (*.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 (-.f64 (*.f64 (-.f64 (*.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) (-.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 (neg x)) 1) (- 1 (exp x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (* x x) (+ (* 1/12 (* x x)) 1)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#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))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- 1 (exp x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (- (exp (neg x)) 1) (- 1 (exp x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))

eval20.0ms (0.5%)

Memory
3.4MiB live, 48.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 828 to 772 computations (57.8% saved)

prune7.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New1800180
Fresh000
Picked022
Done088
Total18010190
Accuracy
100.0%
Counts
190 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
7.0%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
47.3%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
48.2%
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
48.2%
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.4%
#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))
99.4%
#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))
98.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes10.0ms (0.2%)

Memory
-24.4MiB live, 21.9MiB allocated; 3ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 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 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (*.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 (*.f64 x x) #s(literal 1/12 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))
(-.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))) (*.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))
Calls

2 calls:

6.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.4%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 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 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (*.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 (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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
99.4%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 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 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
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:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.4%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.4%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-44.6MiB live, 12.7MiB allocated; 4ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (*.f64 x x) #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 #s(approx (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64)) (exp.f64 x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

5.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.7%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
47.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
47.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

derivations129.0ms (3.2%)

Memory
-6.4MiB live, 128.3MiB allocated; 11ms collecting garbage
Stop Event
done
Compiler

Compiled 45 to 31 computations (31.1% saved)

preprocess64.0ms (1.6%)

Memory
33.4MiB live, 85.0MiB allocated; 30ms collecting garbage
Remove

(abs x)

Compiler

Compiled 184 to 165 computations (10.3% saved)

end0.0ms (0%)

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

Profiling

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