Hyperbolic tangent

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 15 to 9 computations (40% saved)

sample3.4s (87.1%)

Memory
63.1MiB live, 3 579.0MiB allocated; 820ms collecting garbage
Samples
1.4s3 276×2valid
817.0ms4 585×1valid
490.0ms7 829×0exit
21.0ms395×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-exp: 1.7s (73.2% of total)
adjust: 262.0ms (11.5% of total)
ival-div!: 136.0ms (6% of total)
ival-neg: 75.0ms (3.3% of total)
ival-sub!: 71.0ms (3.1% of total)
ival-add!: 67.0ms (2.9% of total)
Bogosity

preprocess58.0ms (1.5%)

Memory
-8.4MiB live, 37.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1767
23267
334307
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶10.3%
(/.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
7.1MiB live, 7.1MiB 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))))

rewrite149.0ms (3.8%)

Memory
24.1MiB live, 169.5MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125490
0135348
1936347
08455319
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
36 → 161
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 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (+.f64 x (neg.f64 x))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (sinh.f64 x) (exp.f64 x)))
(*.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 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) (+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (exp.f64 x))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (expm1.f64 (+.f64 x 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 (neg.f64 x) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal -2 binary64) (cosh.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)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.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 (exp.f64 (+.f64 x (neg.f64 x))) (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 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (exp.f64 (+.f64 x (neg.f64 x))) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.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) x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(-.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 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x #s(literal -1 binary64))
(neg.f64 (neg.f64 (neg.f64 x)))
(neg.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))) (exp.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (exp.f64 x))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (*.f64 #s(literal -2 binary64) (sinh.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) 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 (neg.f64 x) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.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)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.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 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.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))) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.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 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.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 (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 (- (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 (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) #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 (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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#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 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))

eval19.0ms (0.5%)

Memory
-20.6MiB live, 25.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 732 to 594 computations (65.7% saved)

prune4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1483151
Fresh000
Picked101
Done000
Total1493152
Accuracy
100.0%
Counts
152 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(tanh.f64 x)
▶96.0%
#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))
▶96.1%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 29 to 23 computations (20.7% saved)

series6.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
9 → 15
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 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))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(tanh.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 (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#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 (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (tanh x))
2.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (tanh x))
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (+ (* (* x x) -1/3) 1) x) (+ (* (* x x) -1/3) 1) (* x x) -1/3 1 (tanh x))

rewrite146.0ms (3.7%)

Memory
4.2MiB live, 132.7MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074350
078212
1462198
04096185
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
24 → 252
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 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))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(tanh.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 (+ (* (* x x) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (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 (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (+ (* (* x x) -1/3) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))))
#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 (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* x x) -1/3) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 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))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x)) x)
(*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
(*.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 1/3 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
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(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
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#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 (+ (* (* x x) -1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/3) 1) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/3) 1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (+ (* (* x x) -1/3) 1) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))

eval25.0ms (0.6%)

Memory
6.6MiB live, 51.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 214 to 849 computations (61.7% saved)

prune6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2370237
Fresh000
Picked033
Done000
Total2373240
Accuracy
100.0%
Counts
240 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(tanh.f64 x)
✓96.0%
#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))
✓96.1%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes3.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 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))
(/.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:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
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)

regimes4.0ms (0.1%)

Memory
-40.5MiB live, 5.4MiB allocated; 2ms 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:

3.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
96.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
96.1%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

derivations59.0ms (1.5%)

Memory
-9.0MiB live, 46.1MiB allocated; 21ms collecting garbage
Stop Event
1×done
Compiler

Compiled 12 to 9 computations (25% saved)

preprocess20.0ms (0.5%)

Memory
2.5MiB live, 48.0MiB allocated; 3ms 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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