Hyperbolic secant

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample881.0ms (44.9%)

Memory
31.3MiB live, 670.2MiB allocated; 853ms collecting garbage
Samples
399.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-exp: 124.0ms (48.8% of total)
ival-div!: 73.0ms (28.7% of total)
ival-neg: 35.0ms (13.8% of total)
ival-add!: 21.0ms (8.3% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess48.0ms (2.4%)

Memory
-26.5MiB live, 19.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01218
14012
211112
368212
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
3.3MiB live, 3.3MiB 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))

rewrite150.0ms (7.7%)

Memory
16.9MiB live, 161.9MiB allocated; 16ms 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)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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))
(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 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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)))

eval7.0ms (0.4%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 599 to 311 computations (48.1% saved)

prune5.0ms (0.2%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New71677
Fresh000
Picked101
Done000
Total72678
Accuracy
100.0%
Counts
78 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.4%
(/.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))
3.4%
(*.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)))
▶49.1%
#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)))
▶48.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶49.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 130 to 130 computations (0% saved)

series28.0ms (1.4%)

Memory
-32.2MiB live, 14.0MiB allocated; 3ms collecting garbage
Counts
23 → 67
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))
#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)))
(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))
(*.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)
(-.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))
(*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x)
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
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 (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 5/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* 5/24 x)))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* x (+ 5/24 (* -61/720 (pow x 2))))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 5/24))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (+ 5/24 (* -61/720 (pow x 2)))))
#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 (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -61/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -61/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* -61/720 (pow x 3))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* -61/720 (pow x 2))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#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 (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
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 x) (exp (neg x)))) (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (* (+ (* -61/720 (* x x)) 5/24) x) (+ (* -61/720 (* x x)) 5/24) -61/720 5/24 1/2)
5.0ms
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 x) (exp (neg x)))) (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (* (+ (* -61/720 (* x x)) 5/24) x) (+ (* -61/720 (* x x)) 5/24) -61/720 5/24 1/2)
2.0ms
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 x) (exp (neg x)))) (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (* (+ (* -61/720 (* x x)) 5/24) x) (+ (* -61/720 (* x x)) 5/24) -61/720 5/24 1/2)

rewrite212.0ms (10.8%)

Memory
26.4MiB live, 206.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061438
02251336
19081302
070681285
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
90 → 409
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))
#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)))
(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))
(*.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)
(-.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))
(*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) x)
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#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 (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 5/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2))))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* 5/24 x)))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* x (+ 5/24 (* -61/720 (pow x 2))))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 5/24))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (+ 5/24 (* -61/720 (pow x 2)))))
#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 (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -61/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -61/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 61/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* -61/720 (pow x 4))))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* -61/720 (pow x 3))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* (pow x 3) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* -61/720 (pow x 2))))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(hole binary64 (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 61/720))))
#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 (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 61/720 (/ 1/2 (pow x 4))) (* 5/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 61/720 (* 5/24 (/ 1 (pow x 2))))))))
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 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.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)))
(/.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))
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(/.f64 (fma.f64 #s(literal -226981/373248000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 125/13824 binary64)) (-.f64 (fma.f64 #s(literal 3721/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 25/576 binary64)) (*.f64 #s(literal -61/3456 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -61/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 5/24 binary64))
(fma.f64 (*.f64 #s(literal -61/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 5/24 binary64))
(fma.f64 (*.f64 #s(literal -61/720 binary64) x) x #s(literal 5/24 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(fma.f64 x (*.f64 #s(literal -61/720 binary64) x) #s(literal 5/24 binary64))
(-.f64 (/.f64 #s(literal 25/576 binary64) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))) (/.f64 (*.f64 #s(literal 3721/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 3721/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal -5/24 binary64))) (/.f64 #s(literal 25/576 binary64) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal -5/24 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal -5/24 binary64))
(-.f64 #s(literal 5/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -61/720 binary64) x)) x))
(-.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -61/720 binary64)))
(-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 125/13824 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal -5/24 binary64)) #s(literal 25/576 binary64))) (/.f64 (*.f64 #s(literal -226981/373248000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal -5/24 binary64)) #s(literal 25/576 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -226981/373248000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (fma.f64 #s(literal 3721/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 25/576 binary64)) (*.f64 #s(literal -61/3456 binary64) (*.f64 x x)))) (/.f64 #s(literal 125/13824 binary64) (-.f64 (fma.f64 #s(literal 3721/518400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 25/576 binary64)) (*.f64 #s(literal -61/3456 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -61/720 binary64)) #s(literal 5/24 binary64))
(+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))
#s(literal -61/720 binary64)
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#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 (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) (*.f64 #s(literal 5/24 binary64) x))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64))
#s(approx (+ (* -61/720 (* x x)) 5/24) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 1 (cosh x)) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -61/720 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) x) 1) (*.f64 (*.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -5/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 61/720 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -61/720 binary64)))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (*.f64 (*.f64 #s(literal -61/720 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64))))
#s(approx (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (*.f64 (*.f64 #s(literal -61/720 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* -61/720 (* x x)) 5/24) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -61/720 binary64)))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) x) (*.f64 x x)))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 61/720 binary64)) x) x))
#s(approx (/ 1 (cosh 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 (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))))))
#s(approx (* (- (* (* (+ (* -61/720 (* x x)) 5/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 5/24 binary64) (*.f64 x x))) #s(literal 61/720 binary64))))
#s(approx (* (+ (* -61/720 (* x x)) 5/24) x) (*.f64 (neg.f64 (-.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 5/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x)))

eval59.0ms (3%)

Memory
-16.7MiB live, 94.5MiB allocated; 23ms collecting garbage
Compiler

Compiled 4 486 to 1 985 computations (55.8% saved)

prune9.0ms (0.5%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4211422
Fresh011
Picked055
Done000
Total4217428
Accuracy
100.0%
Counts
428 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶25.5%
(/.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))
▶3.4%
(*.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)))
✓49.1%
#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)))
✓48.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓49.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 78 to 78 computations (0% saved)

series25.0ms (1.3%)

Memory
-34.3MiB live, 11.8MiB allocated; 3ms collecting garbage
Counts
16 → 60
Calls
Call 1
Inputs
(*.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 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x)))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (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 x #s(hole binary64 x))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh 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 (+ (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 (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x)))))
#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
18.0ms
x
@-inf
((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
4.0ms
x
@inf
((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
2.0ms
x
@0
((* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) 2 (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) x (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))

rewrite156.0ms (8%)

Memory
50.0MiB live, 183.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471140
02661083
11369975
08205918
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
76 → 226
Calls
Call 1
Inputs
(*.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 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* 4 x)))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (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 x #s(hole binary64 x))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh 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 (+ (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 (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x)))))
#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 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) (sinh.f64 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) (-.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -2 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(+.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
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#s(approx (* 2 (sinh x)) (+.f64 x x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 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)))
#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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (exp (* (neg x) 2)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* 2 (sinh x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
#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 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x 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)))

eval20.0ms (1%)

Memory
-1.9MiB live, 42.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 188 to 953 computations (56.4% saved)

prune10.0ms (0.5%)

Memory
-27.6MiB live, 18.7MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2041205
Fresh000
Picked112
Done055
Total2057212
Accuracy
100.0%
Counts
212 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓25.5%
(/.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))
▶3.4%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
✓49.1%
#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)))
✓48.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓49.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 78 to 78 computations (0% saved)

series5.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
12 → 42
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
Outputs
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* 4 x)))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (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 x #s(hole binary64 x))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) 2 (- (exp (+ x x)) (exp (* -2 x))) (exp (+ x x)) (+ x x) x (exp (* -2 x)) (* -2 x) -2 (* 2 (sinh x)) (sinh x))
2.0ms
x
@inf
((* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) 2 (- (exp (+ x x)) (exp (* -2 x))) (exp (+ x x)) (+ x x) x (exp (* -2 x)) (* -2 x) -2 (* 2 (sinh x)) (sinh x))
1.0ms
x
@0
((* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) 2 (- (exp (+ x x)) (exp (* -2 x))) (exp (+ x x)) (+ x x) x (exp (* -2 x)) (* -2 x) -2 (* 2 (sinh x)) (sinh x))

rewrite105.0ms (5.3%)

Memory
-9.6MiB live, 51.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194801
0208785
01128749
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
54 → 83
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* 4 x)))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (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 x #s(hole binary64 x))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 2 (- (exp (* 2 x)) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (- (exp (* 2 x)) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (* 2 (sinh x)) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (exp (* -2 x)))))))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) #s(hole binary64 (/ 2 (- (exp (neg (* -2 x))) (exp (* -2 x))))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) #s(hole binary64 (- (exp (neg (* -2 x))) (exp (* -2 x)))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (sinh.f64 x))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.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)))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.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 (-.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)
x
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(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 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) #s(literal 1 binary64))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh 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 x)) (exp (* -2 x)))) (* 2 (sinh 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 (+ x x)) (exp (* -2 x)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -62/945 binary64) (*.f64 x x) #s(literal 7/45 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (*.f64 #s(literal 4 binary64) x))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (*.f64 x x) #s(literal 8/15 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) 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 x x)
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.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 (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* 2 (sinh x)) (+.f64 x x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (sinh x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* 2 (sinh x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (* 2 (sinh x))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) (exp (* -2 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval6.0ms (0.3%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 681 to 348 computations (48.9% saved)

prune5.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done066
Total68775
Accuracy
100.0%
Counts
75 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓25.5%
(/.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))
✓3.4%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
✓49.1%
#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)))
✓48.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓49.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 149 to 132 computations (11.4% saved)

regimes8.0ms (0.4%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
9 → 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))
#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)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.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)))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

3.0ms
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 (0.2%)

Memory
5.2MiB live, 5.2MiB 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
71.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.4%1x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.6%)

Memory
-40.3MiB live, 6.1MiB allocated; 2ms 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:

9.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
71.3%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.3%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.3%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB 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
71.0%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
71.0%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
71.0%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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
49.3%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
49.3%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
49.3%1x
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch12.0ms (0.6%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.32755446752147394
7486.316834364047
Samples
6.0ms128×0valid
Compiler

Compiled 211 to 227 computations (-7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.9% of total)
ival-neg: 1.0ms (25.5% of total)
ival-div!: 1.0ms (25.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch4.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
0.32755446752147394
7486.316834364047
Samples
2.0ms32×0valid
Compiler

Compiled 187 to 203 computations (-8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (104.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations88.0ms (4.5%)

Memory
-6.9MiB live, 81.0MiB allocated; 10ms collecting garbage
Stop Event
1×done
Compiler

Compiled 40 to 30 computations (25% saved)

preprocess92.0ms (4.7%)

Memory
6.1MiB live, 103.9MiB allocated; 16ms collecting garbage
Remove

(abs x)

Compiler

Compiled 189 to 161 computations (14.8% saved)

end0.0ms (0%)

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

Profiling

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