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)

sample833.0ms (42.1%)

Memory
25.4MiB live, 620.2MiB allocated; 812ms collecting garbage
Samples
654.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 522.0ms
ival-exp: 428.0ms (82% of total)
ival-div!: 38.0ms (7.3% of total)
ival-neg: 35.0ms (6.7% of total)
ival-add!: 20.0ms (3.8% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess44.0ms (2.2%)

Memory
-15.6MiB live, 30.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01218
14412
213012
381212
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB 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))

rewrite169.0ms (8.5%)

Memory
5.2MiB live, 144.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096338
0102297
1564274
05200252
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 96
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 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 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))))
(fma.f64 (/.f64 #s(literal 1 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 1/2 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 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 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
#s(literal 2 binary64)
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 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)))

eval8.0ms (0.4%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 675 to 328 computations (51.4% saved)

prune4.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New82587
Fresh000
Picked101
Done000
Total83588
Accuracy
100.0%
Counts
88 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.9%
(/.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))
▶4.0%
(*.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)))
▶52.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶52.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 92 to 92 computations (0% saved)

series21.0ms (1%)

Memory
-22.0MiB live, 22.1MiB allocated; 7ms collecting garbage
Counts
23 → 74
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 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)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 x x))
(+.f64 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)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (- (exp (+ 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 (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 (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (- (exp (+ 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 (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#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)))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
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 x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x))
6.0ms
x
@inf
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x))
3.0ms
x
@0
((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (- (exp (+ x x)) (exp (* (neg x) 2))) (exp (+ x x)) (+ x x) (exp (* (neg x) 2)) (* (neg x) 2) (neg x) (* 2 (sinh x)) (sinh x))

rewrite174.0ms (8.8%)

Memory
42.1MiB live, 138.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881350
03111271
116341145
083451082
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
97 → 307
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 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)))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 x x))
(+.f64 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)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (/ 2 (- (exp (+ 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 (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 (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ 2 (- (exp (+ 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 (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#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)))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(*.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 -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(approx (/ 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
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(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
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(*.f64 x #s(literal 2 binary64))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
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(neg.f64 (*.f64 #s(literal -2 binary64) x))
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(+.f64 x x)
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(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) x)
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 x))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
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(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
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(exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (neg.f64 (+.f64 x x)))
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(*.f64 #s(literal 2 binary64) (neg.f64 x))
(neg.f64 (+.f64 x x))
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(neg.f64 x)
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(*.f64 #s(literal 2 binary64) (sinh.f64 x))
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(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
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(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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(sinh.f64 x)
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#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)))
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#s(approx (/ 1 (cosh x)) (fma.f64 (fma.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 (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #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 (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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
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#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 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.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 (+ (* (* 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)))
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#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) #s(literal 1 binary64))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (* 2 (sinh x))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 2 (- (exp (+ x x)) (exp (* (neg x) 2)))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
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#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 #s(literal 4 binary64) x))
#s(approx (- (exp (+ x x)) (exp (* (neg x) 2))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
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#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))
#s(approx (exp (* (neg x) 2)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 2)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 2)) (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 (* (neg x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg x) (neg.f64 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 (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
#s(approx (/ 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 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (/ 2 (- (exp (+ 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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (* (/ 2 (- (exp (+ 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)))

eval56.0ms (2.8%)

Memory
-28.7MiB live, 59.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 2 829 to 1 166 computations (58.8% saved)

prune9.0ms (0.5%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2772279
Fresh000
Picked145
Done000
Total2786284
Accuracy
100.0%
Counts
284 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶27.5%
(/.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))
▶52.3%
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
✓52.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓52.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 56 to 56 computations (0% saved)

series12.0ms (0.6%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
13 → 53
Calls
Call 1
Inputs
(*.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) (sinh.f64 (+.f64 x x))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 1))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 1/2))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #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 x #s(hole binary64 x))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* 4 x)))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (* (sinh x) 2) #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 (sinh (+ x x))) #s(hole binary64 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (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
4.0ms
x
@0
((* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (sinh x) x 2 (* 2 (sinh (+ x x))) (sinh (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
4.0ms
x
@-inf
((* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (sinh x) x 2 (* 2 (sinh (+ x x))) (sinh (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))
3.0ms
x
@inf
((* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (* (sinh x) 2) (sinh x) x 2 (* 2 (sinh (+ x x))) (sinh (+ x x)) (+ x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x))

rewrite168.0ms (8.5%)

Memory
-1.6MiB live, 189.0MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291048
0242954
11351858
08236801
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
66 → 231
Calls
Call 1
Inputs
(*.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) (sinh.f64 (+.f64 x x))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(sinh.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 1))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 1/2))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #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 x #s(hole binary64 x))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* 4 x)))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (* (sinh x) 2) #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 (sinh (+ x x))) #s(hole binary64 (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (* 2 (sinh (+ x x))) #s(hole binary64 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (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 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (sinh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))))
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x
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(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (sinh.f64 (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x)))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 (+.f64 x x)))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (+.f64 x x))))))) (/.f64 (exp.f64 (*.f64 (neg.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (+.f64 x x))))))))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) (-.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (+.f64 x x))
(neg.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) #s(literal 1 binary64))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (fma.f64 (fma.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 (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) #s(literal 1/2 binary64))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 x x) #s(literal 5/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (sinh x) 2) (+.f64 x x))
#s(approx (* (sinh x) 2) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (sinh x) 2) (*.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 (* (sinh x) 2) (*.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 x x)
#s(approx (* 2 (sinh (+ x x))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* 2 (sinh (+ x x))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* 2 (sinh (+ x 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 (* 2 (sinh (+ x 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 (sinh (+ x x)) (+.f64 x x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 x x) #s(literal 4/15 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.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 (fma.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 (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))))
#s(approx (* (sinh x) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (sinh x) (sinh.f64 x))
#s(approx (* 2 (sinh (+ x x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
#s(approx (sinh (+ x x)) (sinh.f64 (+.f64 x x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (* (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) 2) (*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ (* (sinh x) 2) (* 2 (sinh (+ x x)))) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))))
#s(approx (* 2 (sinh (+ x x))) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
#s(approx (sinh (+ x x)) (sinh.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)))

eval55.0ms (2.8%)

Memory
-23.4MiB live, 39.0MiB allocated; 24ms collecting garbage
Compiler

Compiled 2 368 to 921 computations (61.1% saved)

prune6.0ms (0.3%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2101211
Fresh000
Picked112
Done044
Total2116217
Accuracy
100.0%
Counts
217 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.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))
▶52.3%
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
✓52.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓52.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 54 to 54 computations (0% saved)

series4.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
7 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x)))
(sinh.f64 x)
x
(sinh.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 2 binary64)
Outputs
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 1))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 1/2))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))))
#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 x #s(hole binary64 x))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
Calls

3 calls:

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

rewrite128.0ms (6.5%)

Memory
-16.3MiB live, 72.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127485
0134468
0771444
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x)))
(sinh.f64 x)
x
(sinh.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 1))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 1/2))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))))
#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 x #s(hole binary64 x))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 2 x)))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* 4/3 (pow x 2))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(hole binary64 (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))))
#s(approx (/ (sinh x) (sinh (+ x x))) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
#s(approx (sinh (+ x x)) #s(hole binary64 (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))))
Outputs
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (neg.f64 (sinh.f64 x)) (neg.f64 (sinh.f64 (+.f64 x x))))
(/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(sinh.f64 x)
x
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 2 binary64))
(sinh.f64 (+.f64 x x))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(+.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) #s(literal 1 binary64))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) (fma.f64 (fma.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 (/ (sinh x) (sinh (+ x x))) #s(literal 1/2 binary64))
#s(approx (/ (sinh x) (sinh (+ x x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sinh x) (sinh (+ x x))) (fma.f64 (fma.f64 #s(literal 5/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sinh x) (sinh (+ x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (*.f64 x x) #s(literal 5/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#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 x x)
#s(approx (sinh (+ x x)) (+.f64 x x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sinh (+ x x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 x x) #s(literal 4/15 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))) #s(literal 2 binary64)))
#s(approx (/ (sinh x) (sinh (+ x x))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))))
#s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (sinh (+ x x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (sinh x) (sinh (+ x x))) 2) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))) #s(literal 2 binary64)))
#s(approx (/ (sinh x) (sinh (+ x x))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x))))))
#s(approx (sinh (+ x x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))

eval3.0ms (0.2%)

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

Compiled 324 to 181 computations (44.1% saved)

prune3.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done055
Total36642
Accuracy
100.0%
Counts
42 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.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))
✓52.3%
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
✓52.6%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓52.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 115 to 99 computations (13.9% saved)

regimes10.0ms (0.5%)

Memory
-25.5MiB live, 19.9MiB allocated; 4ms 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))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(*.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 #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:

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

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB 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
76.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
76.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
76.9%1x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
76.9%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
76.9%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
76.9%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB 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
76.6%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
76.6%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
76.6%2x
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
52.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
52.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
52.9%1x
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch76.0ms (3.9%)

Memory
-42.4MiB live, 10.8MiB allocated; 12ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
75.0ms
0.34040703322271215
92.23197503250086
Samples
70.0ms128×0valid
Compiler

Compiled 211 to 227 computations (-7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-exp: 66.0ms (97.9% of total)
ival-div!: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch9.0ms (0.5%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.34040703322271215
92.23197503250086
Samples
5.0ms96×0valid
Compiler

Compiled 187 to 203 computations (-8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (68.9% 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)

derivations105.0ms (5.3%)

Memory
12.7MiB live, 54.3MiB allocated; 9ms collecting garbage
Stop Event
1×done
Compiler

Compiled 40 to 30 computations (25% saved)

preprocess62.0ms (3.1%)

Memory
29.2MiB live, 114.6MiB allocated; 13ms 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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