exp2 (problem 3.3.7)

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.3s (69.9%)

Memory
-27.4MiB live, 2 125.7MiB allocated; 1.2s collecting garbage
Samples
2.2s5 707×2valid
446.0ms144×0valid
368.0ms2 405×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-exp: 1.7s (78.3% of total)
adjust: 309.0ms (14.1% of total)
ival-add!: 68.0ms (3.1% of total)
ival-sub!: 67.0ms (3% of total)
ival-neg: 33.0ms (1.5% of total)
Bogosity

preprocess29.0ms (0.6%)

Memory
-26.1MiB live, 34.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01225
14025
211325
348224
4235824
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.6%
(+.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
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
7 → 24
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

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

rewrite166.0ms (3.5%)

Memory
35.8MiB live, 125.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090312
098304
1546289
04665268
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
31 → 101
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.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 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.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 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.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 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (exp.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 x)))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.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))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))
(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 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 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 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (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 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (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)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.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)))

eval9.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 875 to 344 computations (60.7% saved)

prune9.0ms (0.2%)

Memory
-36.0MiB live, 8.6MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh000
Picked101
Done000
Total88694
Accuracy
100.0%
Counts
94 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.5%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
49.6%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
▶47.7%
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶99.3%
#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))
▶99.3%
#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))
▶98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 122 to 120 computations (1.6% saved)

series11.0ms (0.2%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
24 → 70
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))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.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))
(*.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)
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) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 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))
#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 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 (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#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 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)) #s(hole binary64 (exp (* -1 x))))
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))) (- (exp x) 2) -1 (exp (neg x)) (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)
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))) (- (exp x) 2) -1 (exp (neg x)) (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)
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))) (- (exp x) 2) -1 (exp (neg x)) (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)

rewrite198.0ms (4.2%)

Memory
-25.5MiB live, 223.5MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171370
02451303
111311224
085551154
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
94 → 590
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))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.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))
(*.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)
#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) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 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))
#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 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 (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#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 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)) #s(hole binary64 (exp (* -1 x))))
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)) (fabs.f64 x)) (fabs.f64 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)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 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 (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 (neg.f64 x) (*.f64 (neg.f64 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 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x 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) (*.f64 x x)) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x 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) (*.f64 x x)) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 x (*.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)) (fabs.f64 x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1 binary64) (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) (*.f64 x x)) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.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) (*.f64 x x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 (*.f64 x x) x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.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) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) (*.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) (*.f64 x x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 x (*.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 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 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) (*.f64 x x)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x (*.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) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.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 x x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)) x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.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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(+.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 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (cosh.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))) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#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 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#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))
#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 (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) 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))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx 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 (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 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 x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#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))
#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 (* (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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.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 #s(literal 2 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (- (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) x) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (*.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (*.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) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.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) 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 (*.f64 x x) #s(literal 1/360 binary64)) x) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) 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 (*.f64 x x) 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) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (- (exp x) 2) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 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 (+ (- (exp x) 2) (exp (neg x))) (-.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 (cosh.f64 x) #s(literal 1 binary64)))
#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)) (exp.f64 (neg.f64 x)))

eval75.0ms (1.6%)

Memory
39.4MiB live, 85.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 6 708 to 2 436 computations (63.7% saved)

prune21.0ms (0.4%)

Memory
-17.8MiB live, 27.0MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New6277634
Fresh011
Picked145
Done000
Total62812640
Accuracy
100.0%
Counts
640 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.5%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
48.7%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶47.8%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
▶49.6%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
✓47.7%
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
▶99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
✓99.3%
#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))
53.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
▶48.7%
#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))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 239 to 235 computations (1.7% saved)

series11.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Counts
27 → 79
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 (*.f64 x x) x)
(-.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 (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
(fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 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)
#s(literal 1 binary64)
(exp.f64 x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 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) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (* x x) x) 1/12) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 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) 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 (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* (pow x 4) (+ 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) 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 (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) 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) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (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) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* (* x x) x) 1/12) x)) (* (* (* (* x x) x) 1/12) x) (* (* (* x x) x) 1/12) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) 1 (exp x))
4.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (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) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* (* x x) x) 1/12) x)) (* (* (* (* x x) x) 1/12) x) (* (* (* x x) x) 1/12) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) 1 (exp x))
2.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (+ (* (* x x) 1/360) 1/12) (* x x) x 1/360 1/12 (* (* x x) x) (- (* (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) (* (* x x) 1/12) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* (* (* x x) x) 1/12) x)) (* (* (* (* x x) x) 1/12) x) (* (* (* x x) x) 1/12) (+ (- (- (exp (neg x)) 1) 1) (exp x)) (- (- (exp (neg x)) 1) 1) (- (exp (neg x)) 1) (neg x) 1 (exp x))

rewrite243.0ms (5.2%)

Memory
-17.0MiB live, 215.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02301580
02581460
111421337
085771291
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
106 → 548
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 (*.f64 x x) x)
(-.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 (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
(fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 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)
#s(literal 1 binary64)
(exp.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 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) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (* x x) x) 1/12) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 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) 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 (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* x x) (* (* (* (* x x) x) 1/12) x)) #s(hole binary64 (* (pow x 4) (+ 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) 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 (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) 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) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (exp (* -1 x)) 2)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Outputs
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
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(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 4 binary64))) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (fma.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (expm1.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)))))
(fma.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 (neg.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 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (fma.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (expm1.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (expm1.f64 (neg.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (/.f64 #s(literal 8 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(+.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal 2 binary64)) #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))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.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 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (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))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(expm1.f64 (*.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 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.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 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 x)
#s(literal 1 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 (cosh.f64 x) (sinh.f64 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) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 x x))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) x) x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x)
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) 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) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (* (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 (*.f64 x x) x) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) x) x #s(literal 2 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#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) #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 (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (* (* (* (* x x) x) 1/12) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
#s(approx (* (* (* x x) x) 1/12) (*.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) x)) 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) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (- (- (exp (neg x)) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp (neg x)) 1) 1) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (- (exp (neg x)) 1) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (-.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 (neg x) (neg.f64 x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 (*.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) x) (*.f64 (*.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) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) 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 (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (-.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) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) x)) x))
#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 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (-.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)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/360) 1/12) (* (* x x) x)) 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) (exp x)) (-.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)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))

eval71.0ms (1.5%)

Memory
9.6MiB live, 146.7MiB allocated; 31ms collecting garbage
Compiler

Compiled 6 427 to 2 417 computations (62.4% saved)

prune15.0ms (0.3%)

Memory
4.6MiB live, 51.1MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5884592
Fresh123
Picked235
Done134
Total59212604
Accuracy
100.0%
Counts
604 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.5%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
6.6%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
▶48.7%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓47.8%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
▶47.7%
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
▶99.3%
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
✓99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
✓99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))
✓99.3%
#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))
▶53.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
▶48.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x) x))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 211 to 208 computations (1.4% saved)

series13.0ms (0.3%)

Memory
-29.9MiB live, 31.3MiB allocated; 3ms collecting garbage
Counts
30 → 86
Calls
Call 1
Inputs
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/12 binary64)
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x) x)
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x)
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/12 binary64) x) x)
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1/12 binary64)
Outputs
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 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 (* (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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#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 (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* 1/12 x) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 x))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 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 (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg 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 (- (- (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 (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (+ 1/12 (/ 1 (pow x 2)))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#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)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Calls

3 calls:

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

rewrite196.0ms (4.2%)

Memory
18.2MiB live, 243.0MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251593
02591392
110651310
080631240
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
116 → 498
Calls
Call 1
Inputs
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/12 binary64)
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) x) x))
(*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x) x)
(*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x)
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/12 binary64) x) x)
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal -1/12 binary64)
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 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 (* (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 (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#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 (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* 1/12 x) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (- (exp (neg x)) 1) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 x))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) x) 1/12) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 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 (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg 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 (- (- (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 (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (* (- (/ 1 (* x x)) -1/12) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (- (/ 1 (* x x)) -1/12) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1 (* x x)) -1/12) #s(hole binary64 (+ 1/12 (/ 1 (pow x 2)))))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#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)))
#s(approx (- (exp (neg x)) 1) #s(hole binary64 (- (exp (* -1 x)) 1)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 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 (*.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 (neg.f64 x) (*.f64 (neg.f64 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 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 (*.f64 x x) 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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) x)) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/144 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)) #s(literal 1 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 x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/144 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(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 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(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 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (*.f64 x x) x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/12 binary64) x) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) 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 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) x) 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 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.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 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 x 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 (*.f64 x 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 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/144 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal -1 binary64)))
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#s(approx (- (/ 1 (* x x)) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ 1 (* x x)) -1/12) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (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)))

eval51.0ms (1.1%)

Memory
8.0MiB live, 95.9MiB allocated; 21ms collecting garbage
Compiler

Compiled 4 926 to 2 073 computations (57.9% saved)

prune13.0ms (0.3%)

Memory
30.4MiB live, 30.4MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4792481
Fresh011
Picked145
Done156
Total48112493
Accuracy
100.0%
Counts
493 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
4.6%
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
✓48.7%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓47.8%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
✓99.3%
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
✓99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
49.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
✓99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) x) x))
✓99.3%
#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))
✓53.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
✓48.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) x) x))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 285 to 234 computations (17.9% saved)

regimes34.0ms (0.7%)

Memory
-37.5MiB live, 18.7MiB allocated; 15ms collecting garbage
Counts
20 → 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))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) 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))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.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 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(-.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) x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) x) 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:

29.0ms
x
4.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
15 → 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))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) 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))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.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 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(-.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) x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64)) x)))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms 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))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) 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))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.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 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (- (exp (neg x)) 1) 1) (exp x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/12 binary64) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(-.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:

4.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB 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))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #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 #s(literal 1/12 binary64) x) x)) 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))
(-.f64 (expm1.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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
47.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
47.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

derivations137.0ms (2.9%)

Memory
5.3MiB live, 97.1MiB allocated; 7ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 45 to 31 computations (31.1% saved)

preprocess83.0ms (1.8%)

Memory
-9.8MiB live, 84.4MiB allocated; 15ms 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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