Hyperbolic tangent

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 9 computations (40% saved)

sample4.2s (80.3%)

Memory
26.0MiB live, 5 399.6MiB allocated; 898ms collecting garbage
Samples
1.7s3 313×2valid
998.0ms4 547×1valid
686.0ms7 862×0exit
23.0ms396×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-exp: 1.9s (68% of total)
adjust: 340.0ms (12.1% of total)
ival-div!: 269.0ms (9.6% of total)
ival-neg: 136.0ms (4.9% of total)
ival-sub!: 84.0ms (3% of total)
ival-add!: 68.0ms (2.4% of total)
Bogosity

preprocess47.0ms (0.9%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1767
23177
326407
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶11.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
7 → 29
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (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) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

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

rewrite315.0ms (6%)

Memory
-2.7MiB live, 93.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125490
0135348
1886337
25831337
08100309
118327309
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
36 → 132
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (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) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(tanh.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (tanh.f64 (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) #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)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (sinh.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.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 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x 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 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (exp.f64 (neg.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)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.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 (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) (-.f64 (sinh.f64 x) (neg.f64 (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)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) 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)) (-.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) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval31.0ms (0.6%)

Memory
-22.8MiB live, 19.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 252 to 496 computations (60.4% saved)

prune4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1175122
Fresh000
Picked101
Done000
Total1185123
Accuracy
100.0%
Counts
123 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶98.8%
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
▶98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
▶100.0%
(tanh.f64 x)
▶95.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 68 to 60 computations (11.8% saved)

series14.0ms (0.3%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
17 → 48
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(exp.f64 (+.f64 x x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 2))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* 1/3 (pow x 2))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)))
#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 (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 1 (exp (* 2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (exp (neg (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 1 (exp (neg (* -2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1 (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) (/ (* (cosh x) 2) (* (sinh x) 2)) (* (cosh x) 2) 2 (* (sinh x) 2))
5.0ms
x
@-inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1 (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) (/ (* (cosh x) 2) (* (sinh x) 2)) (* (cosh x) 2) 2 (* (sinh x) 2))
2.0ms
x
@0
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (sinh x) (cosh x)) (sinh x) (cosh x) (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (exp (+ x x)) 1) (exp (+ x x)) 1 (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) (/ (* (cosh x) 2) (* (sinh x) 2)) (* (cosh x) 2) 2 (* (sinh x) 2))

rewrite211.0ms (4%)

Memory
2.8MiB live, 235.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229871
0251709
11664701
08260616
122196616
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
65 → 430
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(exp.f64 (+.f64 x x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 2))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* 1/3 (pow x 2))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)))
#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 (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 1 (exp (* 2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (exp (neg (* -2 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (exp (+ x x)) 1) #s(hole binary64 (+ 1 (exp (neg (* -2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
(tanh.f64 x)
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
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(+.f64 (/.f64 (exp.f64 x) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 x)) (sinh.f64 x))))
(*.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 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) #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)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(neg.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (cosh.f64 x) #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)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(neg.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (exp (+ x x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ (exp (+ x x)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (exp (+ x x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (tanh.f64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (tanh.f64 x))
#s(approx (sinh x) (sinh.f64 x))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (tanh.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (exp (+ x x)) 1) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (sinh x) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (tanh.f64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (exp (+ x x)) 1)) (tanh.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (exp (+ x x)) 1) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval35.0ms (0.7%)

Memory
2.5MiB live, 47.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 580 to 987 computations (61.7% saved)

prune6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2762278
Fresh000
Picked235
Done000
Total2785283
Accuracy
100.0%
Counts
283 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
▶96.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓100.0%
(tanh.f64 x)
✓95.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 39 to 35 computations (10.3% saved)

series11.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
13 → 26
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) (tanh.f64 x))
(tanh.f64 x)
Outputs
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 x))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* 1/3 (pow x 2))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* -1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1/45 (pow x 3))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* -1/45 (pow x 4))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (* -1/45 (pow x 2))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) 1 (/ (* (cosh x) 2) (* (sinh x) 2)) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (* -1/45 (* x x)) 1/3) -1/45 (* x x) x 1/3 (/ 1 (/ 1 (tanh x))) (/ 1 (tanh x)) (tanh x))
3.0ms
x
@inf
((/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) 1 (/ (* (cosh x) 2) (* (sinh x) 2)) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (* -1/45 (* x x)) 1/3) -1/45 (* x x) x 1/3 (/ 1 (/ 1 (tanh x))) (/ 1 (tanh x)) (tanh x))
1.0ms
x
@0
((/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) 1 (/ (* (cosh x) 2) (* (sinh x) 2)) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (* -1/45 (* x x)) 1/3) -1/45 (* x x) x 1/3 (/ 1 (/ 1 (tanh x))) (/ 1 (tanh x)) (tanh x))

rewrite207.0ms (4%)

Memory
10.1MiB live, 143.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122665
0134593
1759522
24972522
08183504
118683504
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 354
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) (tanh.f64 x))
(tanh.f64 x)
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 x))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* 1/3 (pow x 2))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* -1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (/ (* (cosh x) 2) (* (sinh x) 2))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1/45 (pow x 3))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* -1/45 (pow x 4))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (* -1/45 (pow x 2))))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(pow.f64 (*.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))))
#s(literal 1 binary64)
#s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (/.f64 x x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (neg.f64 x)) x))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x) x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (fabs.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/45 binary64)) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/45 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 x)) (neg.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/45 binary64)) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 (*.f64 #s(literal -1/45 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/45 binary64)) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
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#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/45 binary64)))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) (*.f64 x x)))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/45 binary64)) x))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))))
#s(approx (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/45 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))
#s(approx (+ (* -1/45 (* x x)) 1/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) x))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) x) (*.f64 x x)))
#s(approx (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x)))

eval60.0ms (1.1%)

Memory
-43.1MiB live, 64.2MiB allocated; 29ms collecting garbage
Compiler

Compiled 2 875 to 1 136 computations (60.5% saved)

prune6.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2820282
Fresh000
Picked022
Done033
Total2825287
Accuracy
100.0%
Counts
287 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
✓96.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓100.0%
(tanh.f64 x)
✓95.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 95 to 80 computations (15.8% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (cosh x) 2) (* (sinh x) 2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
95.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.7%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

derivations57.0ms (1.1%)

Memory
-5.4MiB live, 42.0MiB allocated; 2ms collecting garbage
Stop Event
1×done
Compiler

Compiled 12 to 9 computations (25% saved)

preprocess17.0ms (0.3%)

Memory
-9.7MiB live, 37.6MiB allocated; 1ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 48 to 36 computations (25% saved)

end0.0ms (0%)

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

Profiling

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