Hyperbolic tangent

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample3.5s (83.3%)

Memory
67.6MiB live, 4 407.5MiB allocated; 770ms collecting garbage
Samples
1.5s3 312×2valid
919.0ms4 570×1valid
442.0ms7 563×0exit
20.0ms374×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-exp: 1.7s (71% of total)
adjust: 336.0ms (14% of total)
ival-div!: 157.0ms (6.5% of total)
ival-sub!: 79.0ms (3.3% of total)
ival-neg: 69.0ms (2.9% of total)
ival-add!: 55.0ms (2.3% of total)
Bogosity

preprocess41.0ms (1%)

Memory
-25.1MiB live, 20.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1577
22137
315887
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶9.8%
(/.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
4.2MiB live, 4.2MiB 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))))

rewrite167.0ms (3.9%)

Memory
43.0MiB live, 133.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125490
0135348
1749337
06301311
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
36 → 118
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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x 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 (*.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.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 (pow.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.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 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.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 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.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 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.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 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.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 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x 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 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (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))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (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)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
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)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.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 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (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 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x 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 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x 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) (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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) 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)))

eval47.0ms (1.1%)

Memory
-34.0MiB live, 19.4MiB allocated; 41ms collecting garbage
Compiler

Compiled 1 250 to 450 computations (64% saved)

prune5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109
Accuracy
100.0%
Counts
109 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶12.6%
(/.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))))
▶95.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶99.9%
(tanh.f64 x)
▶95.7%
#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))
▶95.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 110 to 94 computations (14.5% saved)

series12.0ms (0.3%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
25 → 56
Calls
Call 1
Inputs
(tanh.f64 x)
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))
(*.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)
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
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 (+ (* (* 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 (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#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 (+ (* 1/3 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/3 (pow x 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) #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 (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 (* (+ (* (* 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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/3 (* x x)) 2) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))))
#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))) (+ (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)))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (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))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg 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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 2 (+ (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
4.0ms
x
@-inf
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg 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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 2 (+ (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
3.0ms
x
@0
((tanh x) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg 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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (- 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x) -2 (+ 1 (exp (* -2 x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 2 (+ (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

rewrite144.0ms (3.4%)

Memory
-4.3MiB live, 131.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227995
0251825
11228824
08456780
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
81 → 372
Calls
Call 1
Inputs
(tanh.f64 x)
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))
(*.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)
(/.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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#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 (+ (* (* 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 (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#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 (+ (* 1/3 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/3 (pow x 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) #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 (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 (* (+ (* (* 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 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/3 (* x x)) 2) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))))
#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))) (+ (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)))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (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))))
Outputs
(tanh.f64 x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) 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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))))))
(/.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 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(/.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.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 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(/.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 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(-.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))))
x
#s(approx (tanh x) x)
#s(approx (tanh 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)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
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#s(approx (tanh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tanh x) (*.f64 (fma.f64 (-.f64 (*.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 (+ (* (* 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 (- 1 (exp (* -2 x))) (+.f64 x x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.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 (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 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 (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 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 2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #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 (+ (* 1/3 (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #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) (-.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 (tanh x) (tanh.f64 x))
#s(approx (tanh 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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) -1/3) 1) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (+ (* (* x x) -1/3) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (- 1 (exp (* -2 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
#s(approx (* (+ (* 1/3 (* x x)) 2) x) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* 1/3 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/3 (* x x)) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (tanh x) (tanh.f64 x))
#s(approx (* (+ (* (* x x) -1/3) 1) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval41.0ms (1%)

Memory
2.7MiB live, 54.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 556 to 1 438 computations (59.6% saved)

prune8.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3362338
Fresh000
Picked325
Done000
Total3394343
Accuracy
100.0%
Counts
343 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶12.6%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
✓99.9%
(tanh.f64 x)
▶95.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x))
✓95.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 39 to 31 computations (20.5% saved)

series6.0ms (0.1%)

Memory
-39.7MiB live, 7.0MiB allocated; 1ms collecting garbage
Counts
14 → 28
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
#s(literal -1 binary64)
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) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 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) x) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) -1/3) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 1 (exp (* -2 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) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) -1/3) x) x) (* (* x x) -1/3) (* x x) x -1/3 (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (- (exp (* -2 x)) -1) -1)
2.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) -1/3) x) x) (* (* x x) -1/3) (* x x) x -1/3 (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (- (exp (* -2 x)) -1) -1)
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) -1/3) x) x) (* (* x x) -1/3) (* x x) x -1/3 (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (- 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 (- (exp (* -2 x)) -1) -1)

rewrite146.0ms (3.4%)

Memory
27.2MiB live, 118.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123544
0137415
1651394
05094373
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
42 → 189
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#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) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* 2 x)))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* 4/3 x) 2))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 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) x) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) -1/3) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) #s(hole binary64 (/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))))
#s(approx (- 1 (exp (* -2 x))) #s(hole binary64 (- 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (exp (* -2 x)) -1) #s(hole binary64 (+ 1 (exp (* -2 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) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Outputs
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (*.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)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x)
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -4 binary64) x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -4 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal -1 binary64)
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) x)
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (* x x) -1/3) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- 1 (exp (* -2 x))) (+.f64 x x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- 1 (exp (* -2 x))) (*.f64 (fma.f64 (-.f64 (*.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 (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.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 (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* -2 x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* -2 x)) -1) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (- (exp (* -2 x)) -1) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (* -2 x)) -1) (fma.f64 (-.f64 (*.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 (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (tanh.f64 x))
#s(approx (+ (* (* (* x x) -1/3) x) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (+ (* (* (* x x) -1/3) x) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x)))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (tanh.f64 x))
#s(approx (- 1 (exp (* -2 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (exp (* -2 x)) -1) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (exp (* -2 x))) (- (exp (* -2 x)) -1)) (tanh.f64 x))
#s(approx (+ (* (* (* x x) -1/3) x) x) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))

eval21.0ms (0.5%)

Memory
-21.8MiB live, 26.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 860 to 713 computations (61.7% saved)

prune6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1720172
Fresh000
Picked022
Done022
Total1724176
Accuracy
100.0%
Counts
176 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓12.6%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
✓99.9%
(tanh.f64 x)
✓95.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x))
✓95.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 106 to 70 computations (34% saved)

regimes5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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)
#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)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) 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 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 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
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
99.9%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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
95.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
95.4%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

derivations41.0ms (1%)

Memory
-18.3MiB live, 27.8MiB allocated; 2ms collecting garbage
Stop Event
1×done
Compiler

Compiled 12 to 9 computations (25% saved)

preprocess17.0ms (0.4%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms 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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