Hyperbolic tangent

Time bar (total: 4.3s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
100.0%100.0%0.0%0.0%0.0%0.0%0.0%2
Compiler

Compiled 15 to 9 computations (40.0% saved)

sample3.4s (79.4%)

Memory
123.0MiB live, 5 511.6MiB allocated; 894ms collecting garbage
Samples
1.4s3 275×2valid
763.0ms4 606×1valid
524.0ms7 968×0exit
21.0ms375×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-exp: 1.5s (70.7% of total)
adjust: 259.0ms (12.0% of total)
ival-div!: 153.0ms (7.1% of total)
ival-sub!: 75.0ms (3.5% of total)
ival-add!: 74.0ms (3.4% of total)
ival-neg: 74.0ms (3.4% of total)
Bogosity

preprocess50.0ms (1.2%)

Memory
-40.7MiB live, 58.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1767
23267
334317
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series12.0ms (0.3%)

Memory
29.7MiB live, 29.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119457
Stop Event
iter-limit
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)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (neg.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite185.0ms (4.3%)

Memory
13.1MiB live, 308.1MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01318
16818
232918
3244018
0460818
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 721
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
(tanh.f64 x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (tanh.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 (tanh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (tanh.f64 (neg.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -2 binary64) (/.f64 (tanh.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 (tanh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (-.f64 (*.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (-.f64 (*.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (exp.f64 x) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (fma.f64 (*.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (expm1.f64 (+.f64 x x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x)))
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(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (-.f64 (exp.f64 x) (sinh.f64 x)))) (-.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.f64 x))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (+.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (-.f64 (sinh.f64 x) (exp.f64 x)))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (-.f64 (exp.f64 x) (sinh.f64 x))) (*.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (cosh.f64 x) (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (-.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))) (sinh.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (exp.f64 x))
(sqrt.f64 (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(-.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 (neg.f64 x)))
(-.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))))
(fabs.f64 (-.f64 (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (cosh.f64 x)))
(fabs.f64 (-.f64 (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (cosh.f64 x)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fabs.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
(+.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (cosh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.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)))

eval111.0ms (2.6%)

Memory
-10.1MiB live, 190.7MiB allocated; 53ms collecting garbage
Compiler

Compiled 16 606 to 2 553 computations (84.6% saved)

prune11.0ms (0.3%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New7413744
Fresh000
Picked101
Done000
Total7423745
Accuracy
100.0%
Counts
745 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
100.0%
(tanh.f64 x)
96.8%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 29 to 19 computations (34.5% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-2
1
Outputs
#s(literal -2 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series45.0ms (1.1%)

Memory
-28.6MiB live, 25.5MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116465
Stop Event
iter-limit
Counts
11 → 28
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(expm1.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))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
#s(literal 1 binary64)
Outputs
#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 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (neg (- (exp (* -2 x)) 1)) (*.f64 #s(literal 2 binary64) x))
#s(approx (neg (- (exp (* -2 x)) 1)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))
#s(approx (neg (- (exp (* -2 x)) 1)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))))
#s(approx (neg (- (exp (* -2 x)) 1)) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -2/3 binary64) x))) #s(literal 2 binary64))))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (+ (exp (* -2 x)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (+ (exp (* -2 x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (tanh x) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (neg (- (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)) (/.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)))))
#s(approx (neg (- (exp (* -2 x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (* -2 x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (* -2 x)) 1) (+.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 x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
-inf
2.0ms
x
inf
2.0ms
x
0

rewrite149.0ms (3.5%)

Memory
-5.5MiB live, 230.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
02433
113333
255533
3367633
0405333
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 681
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(expm1.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))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
#s(literal 1 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
(tanh.f64 x)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.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 -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (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 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #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 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (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 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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (cosh.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 (tanh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 #s(literal -1 binary64) (tanh.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 (tanh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (tanh.f64 x) #s(literal 2 binary64))))
(*.f64 (tanh.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 x) (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) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (cosh.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.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) (tanh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (fma.f64 (/.f64 (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))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 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)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (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)))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.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 -2 binary64) x)) #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 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (cosh.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (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) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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 (fma.f64 (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) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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 (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (cosh.f64 x))) (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (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 -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (/.f64 (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) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (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 -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 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))))
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#s(literal 1 binary64)

eval52.0ms (1.2%)

Memory
22.6MiB live, 114.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 844 to 1 468 computations (85.1% saved)

prune8.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4651466
Fresh000
Picked123
Done000
Total4663469
Accuracy
100.0%
Counts
469 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%
(tanh.f64 x)
96.8%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 28 to 18 computations (35.7% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-2
-1
Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.2%)

Memory
-35.6MiB live, 16.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084312
Stop Event
iter-limit
Counts
8 → 20
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.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))
Outputs
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) x)
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (- -1 (exp (* -2 x))) #s(literal -2 binary64))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
#s(approx (- -1 (exp (* -2 x))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (* -2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (/ (- (exp (* -2 x)) 1) (- -1 (exp (* -2 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (* -2 x)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (- -1 (exp (* -2 x))) (*.f64 #s(literal -1 binary64) (+.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)))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite116.0ms (2.7%)

Memory
21.6MiB live, 209.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0831
01431
17031
225131
3123622
0426822
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 473
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.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))
Outputs
(tanh.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (expm1.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(neg.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))))
(-.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(fabs.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)))) (sinh.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))

eval51.0ms (1.2%)

Memory
26.7MiB live, 117.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 11 930 to 1 544 computations (87.1% saved)

prune10.0ms (0.2%)

Memory
-24.2MiB live, 21.9MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4880488
Fresh000
Picked011
Done022
Total4883491
Accuracy
100.0%
Counts
491 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%
(tanh.f64 x)
96.8%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes7.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
1 → 1
5 → 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)
Call 2
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (expm1.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) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

4 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))))
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
96.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
96.8%1x
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 81 to 42 computations (48.1% saved)

derivations55.0ms (1.3%)

Memory
-50.3MiB live, 16.5MiB allocated; 61ms collecting garbage
Stop Event
done
Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess12.0ms (0.3%)

Memory
32.1MiB live, 32.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0.0%)

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

Profiling

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