Hyperbolic secant

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample831.0ms (46.3%)

Memory
10.6MiB live, 604.8MiB allocated; 808ms collecting garbage
Samples
651.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-exp: 124.0ms (57.1% of total)
ival-div!: 36.0ms (16.6% of total)
ival-neg: 34.0ms (15.7% of total)
ival-add!: 21.0ms (9.7% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess31.0ms (1.7%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
13524
27524
324224
4182724
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
7 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.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)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
1.0ms
x
@-inf
((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
1.0ms
x
@0
((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

rewrite156.0ms (8.7%)

Memory
-7.8MiB live, 133.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096338
0102297
1548274
04703254
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 86
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.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(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.5%)

Memory
-34.0MiB live, 11.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 601 to 313 computations (47.9% saved)

prune3.0ms (0.2%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73578
Fresh000
Picked101
Done000
Total74579
Accuracy
100.0%
Counts
79 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶55.8%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
▶55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶56.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 102 to 100 computations (2% saved)

series15.0ms (0.8%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
27 → 80
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
#s(literal 3 binary64)
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))
(expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 1))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 2))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* 9 (pow x 2)))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* 27/4 (pow x 2)))))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* (pow x 2) (+ 27/4 (* 81/40 (pow x 2)))))))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* -3 x))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* x (- (* 9/2 x) 3)))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))))
#s(approx (* (neg x) 3) #s(hole binary64 (* -3 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* x 3)) #s(hole binary64 1))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 1))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (* -2 x)) (exp (* 2 x))) 1) (+ (exp (* -3 x)) (exp (* 3 x)))))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (/ 2 (+ (exp (* -3 x)) (exp (* 3 x))))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ (exp (* -3 x)) (exp (* 3 x)))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (exp (* -3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* -3 x)) (exp (* 3 x)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (exp (* (neg x) 3)) (exp (* x 3))) (exp (* (neg x) 3)) (* (neg x) 3) (neg x) 3 (exp (* x 3)) (* x 3) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (exp (+ x x)) (+ x x))
4.0ms
x
@-inf
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (exp (* (neg x) 3)) (exp (* x 3))) (exp (* (neg x) 3)) (* (neg x) 3) (neg x) 3 (exp (* x 3)) (* x 3) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (exp (+ x x)) (+ x x))
3.0ms
x
@0
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (exp (* (neg x) 3)) (exp (* x 3))) (exp (* (neg x) 3)) (* (neg x) 3) (neg x) 3 (exp (* x 3)) (* x 3) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (exp (+ x x)) (+ x x))

rewrite161.0ms (9%)

Memory
-16.1MiB live, 169.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031482
03341420
116881285
087371223
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
107 → 335
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
#s(literal 3 binary64)
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))
(expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 1))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 2))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* 9 (pow x 2)))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* 27/4 (pow x 2)))))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* (pow x 2) (+ 27/4 (* 81/40 (pow x 2)))))))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* -3 x))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* x (- (* 9/2 x) 3)))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))))
#s(approx (* (neg x) 3) #s(hole binary64 (* -3 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* x 3)) #s(hole binary64 1))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 1))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (* -2 x)) (exp (* 2 x))) 1) (+ (exp (* -3 x)) (exp (* 3 x)))))))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(hole binary64 (/ 2 (+ (exp (* -3 x)) (exp (* 3 x))))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(hole binary64 (+ (exp (* -3 x)) (exp (* 3 x)))))
#s(approx (exp (* (neg x) 3)) #s(hole binary64 (exp (* -3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* -3 x)) (exp (* 3 x)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
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#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(literal 1 binary64))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (fma.f64 #s(literal -9/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (fma.f64 (-.f64 (*.f64 #s(literal 135/8 binary64) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4941/80 binary64) (*.f64 x x) #s(literal 135/8 binary64)) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) #s(literal 2 binary64))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) (fma.f64 (fma.f64 #s(literal 27/4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 x x) #s(literal 27/4 binary64)) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (exp (* (neg x) 3)) #s(literal 1 binary64))
#s(approx (exp (* (neg x) 3)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 3)) (fma.f64 (-.f64 (*.f64 #s(literal 9/2 binary64) x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 3)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -9/2 binary64) x #s(literal 9/2 binary64)) x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (* (neg x) 3) (*.f64 #s(literal -3 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (exp (* x 3)) #s(literal 1 binary64))
#s(approx (exp (* x 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* x 3)) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* x 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (* x 3) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(literal 1 binary64))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (* (neg x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ 1 (cosh x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))))
#s(approx (+ (exp (* (neg x) 3)) (exp (* x 3))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (exp (* (neg x) 3)) (exp.f64 (*.f64 #s(literal -3 binary64) x)))
#s(approx (exp (* x 3)) (exp.f64 (*.f64 #s(literal 3 binary64) x)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)))
#s(approx (- (exp (* (neg x) 2)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (* (/ 2 (+ (exp (* (neg x) 3)) (exp (* x 3)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval32.0ms (1.8%)

Memory
1.4MiB live, 46.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 865 to 1 387 computations (64.1% saved)

prune6.0ms (0.3%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3172319
Fresh000
Picked145
Done000
Total3186324
Accuracy
100.0%
Counts
324 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶25.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶55.8%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
✓55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓56.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 61 to 61 computations (0% saved)

series12.0ms (0.7%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
18 → 60
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
(cosh.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))
(expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(exp.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 1))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 1))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* 9 (pow x 2)))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* 27/4 (pow x 2)))))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* (pow x 2) (+ 27/4 (* 81/40 (pow x 2)))))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 1))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* 9/2 (pow x 2)))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 1))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (* -2 x)) (exp (* 2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (* 2 (cosh (* 3 x)))) 2 (* 2 (cosh (* 3 x))) (cosh (* 3 x)) (* 3 x) 3 x (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (neg x) (exp (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
4.0ms
x
@-inf
((* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (* 2 (cosh (* 3 x)))) 2 (* 2 (cosh (* 3 x))) (cosh (* 3 x)) (* 3 x) 3 x (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (neg x) (exp (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
2.0ms
x
@0
((* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (/ 2 (* 2 (cosh (* 3 x)))) 2 (* 2 (cosh (* 3 x))) (cosh (* 3 x)) (* 3 x) 3 x (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (- (exp (* (neg x) 2)) 1) (* (neg x) 2) (neg x) (exp (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))

rewrite174.0ms (9.7%)

Memory
30.2MiB live, 211.0MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02431146
02641049
113811033
08338978
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
78 → 253
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
(cosh.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))
(expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(exp.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 1))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 1))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* 9 (pow x 2)))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* 27/4 (pow x 2)))))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 9 (* (pow x 2) (+ 27/4 (* 81/40 (pow x 2)))))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 1))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* 9/2 (pow x 2)))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 1))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (* -2 x)) (exp (* 2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(hole binary64 (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (* 2 (cosh (* 3 x))) #s(hole binary64 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))
#s(approx (cosh (* 3 x)) #s(hole binary64 (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)))
#s(approx (- (exp (* (neg x) 2)) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))) (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))) (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal -2 binary64)) (*.f64 (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal -2 binary64)) (*.f64 (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))) (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x)))) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) (*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (expm1.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))))) (*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (expm1.f64 (neg.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x))))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(fma.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))))
(-.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (expm1.f64 (neg.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (neg.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(pow.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (neg.f64 (+.f64 x x))) (exp.f64 (+.f64 x (neg.f64 x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
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(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (exp.f64 (neg.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))))
(/.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x x))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.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 (exp.f64 (log.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) #s(literal 1 binary64))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) #s(literal 1 binary64))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) (fma.f64 #s(literal -9/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) (fma.f64 (-.f64 (*.f64 #s(literal 135/8 binary64) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4941/80 binary64) (*.f64 x x) #s(literal 135/8 binary64)) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (cosh (* 3 x))) #s(literal 2 binary64))
#s(approx (* 2 (cosh (* 3 x))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (cosh (* 3 x))) (fma.f64 (fma.f64 #s(literal 27/4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (cosh (* 3 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 x x) #s(literal 27/4 binary64)) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cosh (* 3 x)) #s(literal 1 binary64))
#s(approx (cosh (* 3 x)) (fma.f64 #s(literal 9/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (* 3 x)) (fma.f64 (fma.f64 #s(literal 27/8 binary64) (*.f64 x x) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (* 3 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 81/80 binary64) (*.f64 x x) #s(literal 27/8 binary64)) (*.f64 x x) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 3 x) (*.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) #s(literal 1 binary64))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (neg x) 2)) 1) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (* (neg x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
#s(approx (/ 2 (* 2 (cosh (* 3 x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
#s(approx (* 2 (cosh (* 3 x))) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* 3 x)) (*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)))
#s(approx (- (exp (* (neg x) 2)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (* (/ 2 (* 2 (cosh (* 3 x)))) (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
#s(approx (+ (- (exp (* (neg x) 2)) 1) (exp (+ x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))

eval48.0ms (2.7%)

Memory
-51.4MiB live, 52.7MiB allocated; 68ms collecting garbage
Compiler

Compiled 2 972 to 1 058 computations (64.4% saved)

prune5.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2361237
Fresh000
Picked112
Done044
Total2376243
Accuracy
100.0%
Counts
243 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓25.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶55.8%
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))
✓55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓56.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 60 to 59 computations (1.7% saved)

series5.0ms (0.3%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
12 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x))))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(expm1.f64 (neg.f64 (+.f64 x x)))
(neg.f64 (+.f64 x x))
Outputs
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 1))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 1))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (cosh (* x 3)) #s(hole binary64 1))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* 9/2 (pow x 2)))))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 1))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (neg (+ x x)) #s(hole binary64 (* -2 x)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* 2 x))) (exp (* 2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (cosh (* x 3)) #s(hole binary64 (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- (+ (exp (neg (* 2 x))) (exp (* 2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (neg (* 2 x))) 1)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
Calls

3 calls:

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

rewrite77.0ms (4.3%)

Memory
-3.3MiB live, 42.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174732
0190687
01043659
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
50 → 87
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x))))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(expm1.f64 (neg.f64 (+.f64 x x)))
(neg.f64 (+.f64 x x))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 1))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 1))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* -9/2 (pow x 2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 135/8 (pow x 2)) 9/2)))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 135/8 (* -4941/80 (pow x 2)))) 9/2)))))
#s(approx (cosh (* x 3)) #s(hole binary64 1))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* 9/2 (pow x 2)))))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))))
#s(approx (cosh (* x 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 1))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* 4 (pow x 2)))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* -2 x)))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* 2 x) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* -4/3 x))) 2))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))))
#s(approx (neg (+ x x)) #s(hole binary64 (* -2 x)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* 2 x))) (exp (* 2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (/ 1 (cosh (* x 3))) #s(hole binary64 (/ 2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (cosh (* x 3)) #s(hole binary64 (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- (+ (exp (neg (* 2 x))) (exp (* 2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (neg (* 2 x))) 1)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(hole binary64 (* 2 (/ (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x))))))))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(hole binary64 (- (+ (exp (neg (* -2 x))) (exp (* -2 x))) 1)))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (- (exp (neg (+ x x))) 1) #s(hole binary64 (- (exp (* -2 x)) 1)))
Outputs
(*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x)))) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(pow.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)))
(cosh.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x)))
(+.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x)))
(+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(exp.f64 (+.f64 x x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.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 #s(literal -2 binary64) x))
(+.f64 x x)
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 x #s(literal -2 binary64))
(neg.f64 (+.f64 x x))
(+.f64 (neg.f64 x) (neg.f64 x))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) #s(literal 1 binary64))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh (* x 3))) #s(literal 1 binary64))
#s(approx (/ 1 (cosh (* x 3))) (fma.f64 #s(literal -9/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh (* x 3))) (fma.f64 (-.f64 (*.f64 #s(literal 135/8 binary64) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh (* x 3))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4941/80 binary64) (*.f64 x x) #s(literal 135/8 binary64)) (*.f64 x x)) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (* x 3)) #s(literal 1 binary64))
#s(approx (cosh (* x 3)) (fma.f64 #s(literal 9/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (* x 3)) (fma.f64 (fma.f64 #s(literal 27/8 binary64) (*.f64 x x) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh (* x 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal 81/80 binary64) (*.f64 x x) #s(literal 27/8 binary64)) (*.f64 x x) #s(literal 9/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x 3) (*.f64 #s(literal 3 binary64) x))
#s(approx x x)
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) #s(literal 1 binary64))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (- (exp (neg (+ x x))) 1) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
#s(approx (neg (+ x x)) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64)))
#s(approx (/ 1 (cosh (* x 3))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (*.f64 #s(literal 3 binary64) x)))))
#s(approx (cosh (* x 3)) (*.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp (neg (+ x x))) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (/ 1 (cosh (* x 3))) (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1))) (*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal 2 binary64)))
#s(approx (+ (exp (+ x x)) (- (exp (neg (+ x x))) 1)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp (neg (+ x x))) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))

eval7.0ms (0.4%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 805 to 375 computations (53.4% saved)

prune5.0ms (0.3%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New86187
Fresh000
Picked101
Done055
Total87693
Accuracy
100.0%
Counts
93 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x)))) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
✓77.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓25.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓56.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 140 to 120 computations (14.3% saved)

regimes10.0ms (0.6%)

Memory
-28.8MiB live, 16.6MiB allocated; 5ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (+.f64 x x)))) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (neg.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.3%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
77.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
77.7%1x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
77.7%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.7%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
77.7%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
77.4%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
77.4%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
77.4%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
56.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
56.0%1x
56.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch10.0ms (0.6%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.13008591686336313
2.7511905620370163
Samples
5.0ms112×0valid
Compiler

Compiled 186 to 200 computations (-7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (59.8% of total)
ival-div!: 1.0ms (29.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.016946223046827
15.725118294910537
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations132.0ms (7.3%)

Memory
-15.6MiB live, 80.9MiB allocated; 19ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 44 to 34 computations (22.7% saved)

preprocess45.0ms (2.5%)

Memory
26.2MiB live, 111.6MiB allocated; 15ms collecting garbage
Remove

(abs x)

Compiler

Compiled 201 to 173 computations (13.9% saved)

end0.0ms (0%)

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

Profiling

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