Hyperbolic tangent

Time bar (total: 4.6s)

start0.0ms (0.0%)

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

analyze31.0ms (0.7%)

Memory
-64.5MiB live, 1.0MiB allocated; 44ms 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)

sample3.8s (82.2%)

Memory
149.2MiB live, 6 717.5MiB allocated; 1.2s collecting garbage
Samples
1.6s3 343×2valid
858.0ms4 535×1valid
611.0ms7 896×0exit
32.0ms378×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-exp: 1.8s (70.3% of total)
adjust: 280.0ms (11.1% of total)
ival-div!: 167.0ms (6.6% of total)
ival-sub!: 119.0ms (4.7% of total)
ival-neg: 95.0ms (3.8% of total)
ival-add!: 87.0ms (3.5% of total)
Bogosity

preprocess50.0ms (1.1%)

Memory
-41.4MiB live, 57.9MiB allocated; 16ms 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
8.7%
(/.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)

sample0.0ms (0.0%)

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

series11.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB 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

rewrite169.0ms (3.6%)

Memory
7.5MiB live, 255.6MiB allocated; 55ms 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
(*.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)))
(tanh.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))
(-.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))))
(sqrt.f64 (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(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)))

eval104.0ms (2.2%)

Memory
-9.0MiB live, 173.1MiB allocated; 42ms collecting garbage
Compiler

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

prune13.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New7404744
Fresh000
Picked101
Done000
Total7414745
Accuracy
100.0%
Counts
745 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
100.0%
(tanh.f64 x)
98.4%
#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))))))
97.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 51 to 32 computations (37.3% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/3
2
-1
Outputs
#s(literal 1 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

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

series33.0ms (0.7%)

Memory
-34.6MiB live, 11.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122563
Stop Event
iter-limit
Counts
17 → 34
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 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))))
#s(literal 1 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)
(tanh.f64 x)
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
#s(literal -1 binary64)
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 (+ 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 (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x))))))))
#s(approx (- (exp (+ x x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 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 (+ 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 (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 x)) 1) (- (exp (+ x x)) -1)) (/.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 (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp (+ x 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)))))
#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)))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp (+ x x)) -1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
3.0ms
x
-inf
2.0ms
x
0

rewrite121.0ms (2.6%)

Memory
5.8MiB live, 196.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02397
03366
119866
284662
0410559
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 603
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 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))))
#s(literal 1 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)
(tanh.f64 x)
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) 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 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))) (+.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))) (+.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) (*.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) x))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64))) (*.f64 x x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))
(-.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)) x)
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(+.f64 x (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)))
(+.f64 x (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))))
(+.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal -1/3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(literal -1/3 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x (*.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.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 #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 (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 (*.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 (expm1.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 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.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 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 (*.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 #s(literal 1/2 binary64) (cosh.f64 x)))
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(-.f64 (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (sinh.f64 x)))
(-.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (neg.f64 (*.f64 (exp.f64 x) (sinh.f64 x))))
(-.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (neg.f64 (*.f64 (sinh.f64 x) (exp.f64 x))))
(-.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (sinh.f64 (+.f64 x x)) (neg.f64 (cosh.f64 (+.f64 x x))))
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x))))
(fabs.f64 (exp.f64 (+.f64 x x)))
(exp.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 x x))
(+.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (sinh.f64 x)))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
#s(literal -1 binary64)

eval55.0ms (1.2%)

Memory
7.2MiB live, 103.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 10 627 to 1 697 computations (84.0% saved)

prune8.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4611462
Fresh000
Picked134
Done000
Total4624466
Accuracy
100.0%
Counts
466 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
100.0%
(tanh.f64 x)
98.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
97.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 50 to 29 computations (42.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/3
Outputs
#s(literal -6004799503160661/18014398509481984 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series8.0ms (0.2%)

Memory
-34.7MiB live, 11.2MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059230
Stop Event
iter-limit
Counts
6 → 11
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 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 (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (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 (+ (* (* (* x x) x) -1/3) x) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) x) -1/3) 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 (/ (- (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) x) -1/3) 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
0
1.0ms
x
-inf
1.0ms
x
inf

rewrite161.0ms (3.5%)

Memory
9.5MiB live, 216.9MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01623
19723
244323
3289523
0438123
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 106
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x))
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 x) x)
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x) (fabs.f64 x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x)
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/3 binary64)

eval15.0ms (0.3%)

Memory
-21.1MiB live, 24.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 077 to 491 computations (84.0% saved)

prune3.0ms (0.1%)

Memory
7.1MiB live, 7.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done033
Total1124116
Accuracy
100.0%
Counts
116 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
100.0%
(tanh.f64 x)
98.4%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
97.7%
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
Compiler

Compiled 50 to 29 computations (42.0% saved)

regimes8.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Counts
1 → 1
6 → 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)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) 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 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x 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
97.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
97.7%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 114 to 49 computations (57.0% saved)

derivations21.0ms (0.5%)

Memory
-42.8MiB live, 12.4MiB allocated; 6ms collecting garbage
Stop Event
done
Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess13.0ms (0.3%)

Memory
42.4MiB live, 42.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0.0%)

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

Profiling

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