Hyperbolic tangent

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
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)

sample3.6s (81.4%)

Memory
104.8MiB live, 5 053.1MiB allocated; 1.1s collecting garbage
Samples
1.6s3 301×2valid
782.0ms4 607×1valid
441.0ms7 631×0exit
19.0ms348×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-exp: 1.7s (71% of total)
adjust: 277.0ms (11.8% of total)
ival-div!: 172.0ms (7.3% of total)
ival-sub!: 96.0ms (4.1% of total)
ival-neg: 77.0ms (3.3% of total)
ival-add!: 59.0ms (2.5% of total)
Bogosity

preprocess53.0ms (1.2%)

Memory
-5.1MiB live, 39.9MiB allocated; 8ms 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
9.7%
(/.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)

series8.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB 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

rewrite147.0ms (3.3%)

Memory
24.1MiB live, 210.4MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01318
16618
272118
0860718
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 690
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 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cosh.f64 x) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -1 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) x)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 (tanh.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) (cosh.f64 x)) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (cosh.f64 x))))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal -2 binary64)) (/.f64 (exp.f64 x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (/.f64 (sinh.f64 x) (exp.f64 x)))
(*.f64 (tanh.f64 x) #s(literal 1 binary64))
(*.f64 (fma.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tanh.f64 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 (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 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (cosh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.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 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))) (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 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 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.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) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (neg.f64 (exp.f64 (neg.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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (cosh.f64 x)) (*.f64 (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) (cosh.f64 x)))
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(+.f64 (/.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (*.f64 (exp.f64 x) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.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 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (*.f64 (sinh.f64 x) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) (exp.f64 x))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval92.0ms (2.1%)

Memory
0.8MiB live, 145.3MiB allocated; 20ms collecting garbage
Compiler

Compiled 21 501 to 2 499 computations (88.4% saved)

prune14.0ms (0.3%)

Memory
1.8MiB live, 46.8MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7085713
Fresh000
Picked101
Done000
Total7095714
Accuracy
100.0%
Counts
714 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 (sinh.f64 x) (cosh.f64 x))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
100.0%
(tanh.f64 x)
96.9%
#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))))))
96.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 102 to 68 computations (33.3% saved)

series28.0ms (0.6%)

Memory
12.7MiB live, 53.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136466
Stop Event
iter-limit
Counts
16 → 28
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tanh.f64 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))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
Outputs
#s(approx (tanh x) x)
#s(approx (tanh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tanh 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 (tanh 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 (/ 1 (tanh x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64)))))) x))
#s(approx (+ 1 (* -1/3 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/3 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1/3 (pow x 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#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 (/ (- (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 (/ 1 (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 (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
#s(approx (+ 1 (* -1/3 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.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 (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
16.0ms
x
inf
4.0ms
x
-inf
2.0ms
x
0

rewrite87.0ms (2%)

Memory
-36.3MiB live, 66.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02287
03258
116158
0153655
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 431
Calls
Call 1
Inputs
(tanh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tanh.f64 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))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh.f64 x)
(cosh.f64 x)
Outputs
(tanh.f64 x)
(*.f64 (/.f64 (tanh.f64 x) #s(literal 2 binary64)) #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) x)) (exp.f64 (+.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (/.f64 (sinh.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.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 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tanh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.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 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 (tanh.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(pow.f64 (tanh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.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 (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 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) (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))))
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(cosh.f64 (neg.f64 x))
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(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
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eval35.0ms (0.8%)

Memory
17.7MiB live, 63.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 880 to 1 075 computations (84.4% saved)

prune7.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3592361
Fresh000
Picked235
Done000
Total3615366
Accuracy
100.0%
Counts
366 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 (sinh.f64 x) (cosh.f64 x))
96.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh x) x)))
100.0%
(tanh.f64 x)
96.9%
#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))
96.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 52 to 32 computations (38.5% saved)

series28.0ms (0.6%)

Memory
-35.2MiB live, 11.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092342
Stop Event
iter-limit
Counts
10 → 17
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh x) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (tanh x) x))
#s(approx (tanh x) 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 (* (* x x) -1/3) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ 1 (tanh x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (/ 1 (tanh x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64)))))) x))
#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 (+ (* (* (* x x) -1/3) x) x) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) -1/3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ 1 (/ 1 (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 (/ 1 (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 (/ (- (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 (+ (* (* (* x x) -1/3) x) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite207.0ms (4.7%)

Memory
41.0MiB live, 185.3MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
02344
113342
2123742
0890340
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 274
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh x) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (tanh x) x))
#s(approx (tanh x) x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (neg.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) (neg.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)))) (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)))))
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(-.f64 (/.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))) (/.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))
(fabs.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))
(exp.f64 (+.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)) (+.f64 x (neg.f64 x))))
(exp.f64 (+.f64 (+.f64 x (neg.f64 x)) (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))
(exp.f64 (-.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)) (+.f64 x (neg.f64 x))))
(exp.f64 (-.f64 (+.f64 x (neg.f64 x)) (neg.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))) (/.f64 (*.f64 (exp.f64 x) (sinh.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))
(+.f64 (/.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))) (/.f64 (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))
(+.f64 (cosh.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))) (sinh.f64 (log.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))
(+.f64 #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x))))

eval37.0ms (0.8%)

Memory
-7.0MiB live, 39.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 9 985 to 787 computations (92.1% saved)

prune7.0ms (0.2%)

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

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2370237
Fresh000
Picked022
Done033
Total2375242
Accuracy
100.0%
Counts
242 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 (sinh.f64 x) (cosh.f64 x))
96.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh x) x)))
100.0%
(tanh.f64 x)
96.9%
#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))
96.6%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes18.0ms (0.4%)

Memory
-42.6MiB live, 12.1MiB allocated; 5ms collecting garbage
Accuracy

Total -0.1b remaining (-5.5%)

Threshold costs -0.1b (-5.5%)

Counts
2 → 1
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh 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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tanh x) x)))
(tanh.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 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))))))
(/.f64 (sinh.f64 x) (cosh.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

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
96.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
96.6%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 122 to 52 computations (57.4% saved)

derivations32.0ms (0.7%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess17.0ms (0.4%)

Memory
-1.5MiB live, 45.8MiB allocated; 1ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0%)

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

Profiling

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