Hyperbolic sine

Time bar (total: 3.4s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
100.0%100.0%0.0%0.0%0.0%0.0%0.0%1
Compiler

Compiled 10 to 9 computations (10.0% saved)

sample1.6s (48.6%)

Memory
50.7MiB live, 2 324.9MiB allocated; 412ms collecting garbage
Samples
775.0ms1 709×2valid
334.0ms2 290×1valid
264.0ms4 257×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 849.0ms (76.5% of total)
adjust: 115.0ms (10.4% of total)
ival-div!: 69.0ms (6.2% of total)
ival-sub!: 44.0ms (4.0% of total)
ival-neg: 34.0ms (3.1% of total)
Bogosity

preprocess27.0ms (0.8%)

Memory
-0.3MiB live, 41.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1627
22607
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 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)

series10.0ms (0.3%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098323
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.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 (/ (- (exp x) (exp (neg x))) 2) (*.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 (- (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))) 2) (*.f64 #s(literal 1/2 binary64) (-.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))) 2) (*.f64 #s(literal 1/2 binary64) (-.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)))
Calls

3 calls:

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

rewrite99.0ms (3.0%)

Memory
-14.1MiB live, 144.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01217
15717
229217
3281513
0511712
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 891
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.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))))
(*.f64 #s(literal 1/4 binary64) (exp.f64 x))
(*.f64 #s(literal -4 binary64) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 #s(literal -1/2 binary64) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(*.f64 #s(literal 4 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (exp.f64 x))
(*.f64 #s(literal -2 binary64) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/4 binary64))
(*.f64 (exp.f64 x) #s(literal 1/4 binary64))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/2 binary64))
(*.f64 (exp.f64 x) #s(literal 4 binary64))
(*.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1/2 binary64))
(*.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (fabs.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
(/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 #s(literal -1/2 binary64) (exp.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/.f64 #s(literal 1/2 binary64) (exp.f64 x))
(/.f64 #s(literal -2 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 (exp.f64 x) #s(literal -16 binary64))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (exp.f64 x) #s(literal 16 binary64))
(/.f64 (exp.f64 x) #s(literal -8 binary64))
(/.f64 (exp.f64 x) #s(literal 8 binary64))
(/.f64 (exp.f64 x) #s(literal -4 binary64))
(/.f64 (exp.f64 x) #s(literal 4 binary64))
(/.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) #s(literal 2 binary64))
(sinh.f64 (neg.f64 x))
(sinh.f64 x)
(neg.f64 (exp.f64 x))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x) (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 (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) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.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 #s(literal 1/4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
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(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.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 #s(literal 1/4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 2 binary64) (exp.f64 x))
(-.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 x))
(-.f64 (exp.f64 x) (exp.f64 x))
(sqrt.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (cosh.f64 (*.f64 x #s(literal -1 binary64))) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (exp.f64 x) (exp.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

eval22.0ms (0.7%)

Memory
-2.6MiB live, 43.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 135 to 530 computations (75.2% saved)

prune19.0ms (0.6%)

Memory
-34.3MiB live, 17.4MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2405245
Fresh000
Picked101
Done000
Total2415246
Accuracy
100.0%
Counts
246 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
100.0%
(sinh.f64 x)
52.7%
(exp.f64 x)
52.8%
(cosh.f64 x)
51.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 50 to 42 computations (16.0% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 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)

series14.0ms (0.4%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143401
Stop Event
iter-limit
Counts
10 → 29
Calls
Call 1
Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
(cosh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
Outputs
#s(approx (sinh x) x)
#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 (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 (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 (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) x))))))))
#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 (sinh 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))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (exp x) (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 x)) 1) 1/2) (exp x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (expm1.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) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (* (- (exp (+ x x)) 1) 1/2) (exp x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 x))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (expm1.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))))
Calls

3 calls:

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

rewrite160.0ms (4.8%)

Memory
20.3MiB live, 206.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
02527
111927
255727
0402727
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 419
Calls
Call 1
Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
(cosh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 8 binary64))
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x
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(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(expm1.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)))
(expm1.f64 (+.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
#s(literal 1/2 binary64)

eval38.0ms (1.1%)

Memory
-8.7MiB live, 83.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 712 to 1 016 computations (84.9% saved)

prune9.0ms (0.3%)

Memory
-23.2MiB live, 23.1MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4291430
Fresh000
Picked055
Done000
Total4296435
Accuracy
100.0%
Counts
435 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
100.0%
(sinh.f64 x)
52.7%
(exp.f64 x)
52.8%
(cosh.f64 x)
51.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
5.5%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 31 to 26 computations (16.1% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 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)

series3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02657
Stop Event
iter-limit
Counts
4 → 7
Calls
Call 1
Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#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 x x)
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

TimeVariablePoint
0.0ms
x
-inf
0.0ms
x
inf
0.0ms
x
0

rewrite135.0ms (4.0%)

Memory
40.5MiB live, 219.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0611
13211
29811
336211
4302711
0401311
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 52
Calls
Call 1
Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

eval23.0ms (0.7%)

Memory
-34.0MiB live, 20.1MiB allocated; 29ms collecting garbage
Compiler

Compiled 616 to 206 computations (66.6% saved)

prune3.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New53255
Fresh000
Picked101
Done055
Total54761
Accuracy
100.0%
Counts
61 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
100.0%
(sinh.f64 x)
52.7%
(exp.f64 x)
52.8%
(cosh.f64 x)
51.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
5.5%
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
5.5%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
Compiler

Compiled 42 to 34 computations (19.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1
2
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

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

series6.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081277
Stop Event
iter-limit
Counts
10 → 21
Calls
Call 1
Inputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
Outputs
#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 x x)
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
#s(approx (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
0.0ms
x
0

rewrite499.0ms (14.9%)

Memory
-50.7MiB live, 364.0MiB allocated; 919ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
01632
18232
229432
3157932
0406931
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 1 127
Calls
Call 1
Inputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
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(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal 2 binary64) (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 (+.f64 x x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 x x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))
(fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (-.f64 x #s(literal -2 binary64)) (neg.f64 x))
(-.f64 (+.f64 x x) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(-.f64 x (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 x (+.f64 (neg.f64 x) #s(literal -2 binary64)))
(-.f64 x (neg.f64 (-.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) x)
(+.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 (+.f64 x x) #s(literal 2 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 x (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(+.f64 x (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 x (-.f64 x #s(literal -2 binary64)))

eval162.0ms (4.8%)

Memory
38.7MiB live, 209.5MiB allocated; 72ms collecting garbage
Compiler

Compiled 12 617 to 2 601 computations (79.4% saved)

prune16.0ms (0.5%)

Memory
-9.7MiB live, 38.9MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7411742
Fresh000
Picked112
Done055
Total7427749
Accuracy
100.0%
Counts
749 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
100.0%
(sinh.f64 x)
52.7%
(exp.f64 x)
52.8%
(cosh.f64 x)
51.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
51.7%
#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
5.5%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.9%)

Memory
-22.0MiB live, 72.5MiB allocated; 3ms collecting garbage
Counts
4 → 1
5 → 2
7 → 2
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Call 2
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
Call 3
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 x)
(cosh.f64 x)
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(cosh.f64 x)
Call 4
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 x)
(cosh.f64 x)
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(sinh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

12 calls:

4.0ms
x
3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
51.8%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
51.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
51.8%1x
99.1%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
99.1%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
99.1%2x
99.2%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
99.2%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
99.2%2x
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1x
Compiler

Compiled 132 to 90 computations (31.8% saved)

bsearch20.0ms (0.6%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.4043785235866929
2.187522053145095
Samples
11.0ms29×2valid
3.0ms23×1valid
2.0ms44×0valid
Compiler

Compiled 83 to 83 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 10.0ms (75.6% of total)
adjust: 1.0ms (7.6% of total)
ival-div!: 1.0ms (7.6% of total)
ival-sub!: 0.0ms (0.0% of total)
ival-neg: 0.0ms (0.0% of total)

bsearch47.0ms (1.4%)

Memory
-31.4MiB live, 20.0MiB allocated; 57ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
2.187522053145095
3.6888160086119304
Samples
39.0ms10×2valid
3.0ms20×1valid
2.0ms34×0valid
Compiler

Compiled 59 to 59 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 40.0ms (95.7% of total)
adjust: 1.0ms (2.4% of total)
ival-sub!: 0.0ms (0.0% of total)
ival-div!: 0.0ms (0.0% of total)
ival-neg: 0.0ms (0.0% of total)

derivations347.0ms (10.3%)

Memory
26.3MiB live, 122.6MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 44 to 17 computations (61.4% saved)

preprocess29.0ms (0.9%)

Memory
-28.8MiB live, 65.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 158 to 103 computations (34.8% saved)

end0.0ms (0.0%)

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

Profiling

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