Hyperbolic secant

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample743.0ms (35.2%)

Memory
55.4MiB live, 1 171.0MiB allocated; 267ms collecting garbage
Samples
541.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-exp: 176.0ms (49.3% of total)
ival-div!: 75.0ms (21% of total)
ival-add!: 52.0ms (14.6% of total)
ival-neg: 52.0ms (14.6% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain85.0ms (4%)

Memory
1.9MiB live, 196.5MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
01(100.49406929494367)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 x))sensitivity12
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-12253
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 8.0ms (53.7% of total)
ival-neg: 3.0ms (20.1% of total)
ival-div!: 3.0ms (20.1% of total)
ival-add!: 1.0ms (6.7% of total)
adjust: 0.0ms (0% of total)

preprocess22.0ms (1%)

Memory
-28.8MiB live, 17.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
13524
27524
324224
4181124
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 16 to 14 computations (12.5% saved)

series4.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB 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))

rewrite147.0ms (7%)

Memory
39.9MiB live, 174.1MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096338
0101297
1547274
04645254
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 110
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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.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))))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.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))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
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 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #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 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #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)))

eval12.0ms (0.6%)

Memory
-19.1MiB live, 27.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 437 to 422 computations (70.6% saved)

prune4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1065111
Fresh000
Picked101
Done000
Total1075112
Accuracy
100.0%
Counts
112 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.4%
(/.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))
▶54.2%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
▶53.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶53.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 116 to 86 computations (25.9% saved)

series33.0ms (1.6%)

Memory
-27.4MiB live, 29.5MiB allocated; 21ms collecting garbage
Counts
19 → 62
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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* 4 x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp 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)))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* (* (cosh x) 2) (* 2 (sinh x))) (* (cosh x) 2) (* 2 (sinh x)) (sinh x))

rewrite158.0ms (7.5%)

Memory
23.9MiB live, 251.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351156
02551073
112551073
082171025
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
81 → 353
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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 1))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* -1/3 (pow x 2))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/45 (* -62/945 (pow x 2)))) 1/3))) x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* 4 x)))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* 8/3 (pow x 2))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#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 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) #s(hole binary64 (/ 2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) #s(hole binary64 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp 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)))))
Outputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(cosh.f64 #s(literal 0 binary64))
(fabs.f64 #s(literal 1 binary64))
(exp.f64 #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #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)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
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(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 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 #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 (-.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 (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)
#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 (+ (* (* 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 (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (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 (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) #s(literal 1 binary64))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh x))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* (* (cosh x) 2) (* 2 (sinh 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 (* (* (cosh x) 2) (* 2 (sinh 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 (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (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 (* (cosh x) 2) (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 (* 2 (sinh x)) (*.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (* 2 (sinh x))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ 2 (* (* (cosh x) 2) (* 2 (sinh x)))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cosh x) 2) (* 2 (sinh x))) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#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 (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval49.0ms (2.3%)

Memory
6.8MiB live, 97.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 429 to 1 676 computations (83.9% saved)

prune16.0ms (0.8%)

Memory
-24.9MiB live, 28.4MiB allocated; 9ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5194523
Fresh000
Picked055
Done000
Total5199528
Accuracy
100.0%
Counts
528 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶26.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
▶89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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))))
▶86.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶100.0%
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
✓54.2%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
✓53.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓53.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 126 to 87 computations (31% saved)

series9.0ms (0.4%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
22 → 71
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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 (* (cosh x) 2) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.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))
Outputs
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (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 (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#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) (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
@inf
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
3.0ms
x
@-inf
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
2.0ms
x
@0
((* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (pow (cosh x) -1/2) (cosh x) x -1/2 (/ 2 (* (cosh x) 2)) 2 (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) 1/12 (* x x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360 (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

rewrite71.0ms (3.4%)

Memory
24.3MiB live, 70.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191448
02351314
011091272
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
93 → 172
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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 (* (cosh x) 2) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.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))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 1))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (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 (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#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) (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 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
x
(neg.f64 #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1/12 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(exp.f64 #s(literal 0 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #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 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
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(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
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(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
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(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/12 binary64) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(literal 1/360 binary64)
(/.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) #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))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) #s(literal 1 binary64))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (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 (* (pow (cosh x) -1/2) (pow (cosh x) -1/2)) (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 (pow (cosh x) -1/2) #s(literal 1 binary64))
#s(approx (pow (cosh x) -1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (-.f64 (*.f64 #s(literal 7/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -139/5760 binary64) (*.f64 x x) #s(literal 7/96 binary64)) (*.f64 x x)) #s(literal 1/4 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)))
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#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
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#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
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#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
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#s(approx (+ (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (*.f64 x x)))
#s(approx (/ 2 (* (cosh x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 2 (* (cosh x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval26.0ms (1.2%)

Memory
4.3MiB live, 50.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 431 to 896 computations (83.5% saved)

prune13.0ms (0.6%)

Memory
-22.1MiB live, 23.2MiB allocated; 5ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New2139222
Fresh000
Picked314
Done145
Total21714231
Accuracy
100.0%
Counts
231 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓76.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓26.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
▶86.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
86.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
▶86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
59.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓53.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓53.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 480 to 309 computations (35.6% saved)

series21.0ms (1%)

Memory
-18.8MiB live, 30.0MiB allocated; 10ms collecting garbage
Counts
33 → 90
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/360 binary64) (*.f64 x x))
#s(literal -1/360 binary64)
Outputs
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 1/12))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* -1/360 (* x x)) #s(hole binary64 (* -1/360 (pow x 2))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)
5.0ms
x
@0
((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)
4.0ms
x
@inf
((pow (pow (cosh x) -1/2) 2) (pow (cosh x) -1/2) (cosh x) x -1/2 2 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (+ (* 1/12 (* x x)) 1) (* (* x x) 1/12) (* x x) 1/12 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) (+ (* (* 1/12 x) x) 1) (* 1/12 x) 1 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (/ 2 (* (cosh x) 2)) (* (cosh x) 2) (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (- 1/12 (* -1/360 (* x x))) (* -1/360 (* x x)) -1/360)

rewrite243.0ms (11.5%)

Memory
23.2MiB live, 321.5MiB allocated; 155ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02552047
02921883
112151867
085431742
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
123 → 1 046
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(cosh.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/360 binary64) (*.f64 x x))
#s(literal -1/360 binary64)
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 1))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/96 (pow x 2)) 1/4)))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/96 (* -139/5760 (pow x 2)))) 1/4)))))
#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 (* (cosh x) 2)) #s(hole binary64 1))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 1/12))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (* -1/360 (* x x)) #s(hole binary64 (* -1/360 (pow x 2))))
#s(approx (pow (pow (cosh x) -1/2) 2) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (cosh x) -1/2) #s(hole binary64 (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (/ 1 (exp x))))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (* (cosh x) 2)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* 1/12 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- 1/12 (* -1/360 (* x x))) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (- 1/12 (* -1/360 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
Outputs
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal -1/2 binary64) (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #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)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1/4 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) #s(literal -1/4 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -2 binary64) #s(literal 4 binary64))
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(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) x) x (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) x) x (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/12 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 #s(literal 1/12 binary64) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 #s(literal 1/12 binary64) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(fma.f64 x (*.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(fma.f64 x (*.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/4320 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/4320 binary64) (*.f64 x x))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (-.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4320 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4320 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/360 binary64) x)) x))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/360 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(*.f64 (*.f64 #s(literal -1/360 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -1/360 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/360 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/360 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/360 binary64))
(*.f64 #s(literal -1/360 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -1/360 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(neg.f64 #s(literal 1/360 binary64))
#s(literal -1/360 binary64)
#s(approx (pow (pow (cosh x) -1/2) 2) #s(literal 1 binary64))
#s(approx (pow (pow (cosh x) -1/2) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (pow (pow (cosh x) -1/2) 2) (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 (pow (pow (cosh x) -1/2) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) #s(literal 1 binary64))
#s(approx (pow (cosh x) -1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (fma.f64 #s(literal 7/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) -1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -139/5760 binary64) (*.f64 x x) #s(literal 7/96 binary64)) (*.f64 x x) #s(literal -1/4 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)
#s(approx (/ 2 (* (cosh x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (* (cosh x) 2)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (* (cosh x) 2)) (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 (* (cosh x) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/12) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (* -1/360 (* x x)) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))
#s(approx (pow (pow (cosh x) -1/2) 2) (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
#s(approx (pow (cosh x) -1/2) (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (/ 2 (* (cosh x) 2)) (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (* x x)) 1) (* x x)) 2) (*.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (* x x)) 2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) x) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))

eval176.0ms (8.3%)

Memory
-17.4MiB live, 263.4MiB allocated; 35ms collecting garbage
Compiler

Compiled 38 874 to 5 915 computations (84.8% saved)

prune39.0ms (1.8%)

Memory
-5.0MiB live, 87.1MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New1 47761 483
Fresh224
Picked145
Done055
Total1 480171 497
Accuracy
100.0%
Counts
1 497 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓76.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓26.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
86.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
89.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
86.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
✓86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
59.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓53.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓53.9%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 833 to 369 computations (55.7% saved)

regimes17.0ms (0.8%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) 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))))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.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 15 to 13 computations (13.3% saved)

regimes19.0ms (0.9%)

Memory
-14.2MiB live, 31.0MiB allocated; 7ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
Calls

3 calls:

10.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.6%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
89.4%1x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.8%)

Memory
-27.8MiB live, 24.3MiB allocated; 11ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/360) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
Calls

3 calls:

9.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
89.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.5%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x #s(literal 2 binary64))))
Calls

3 calls:

4.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
86.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
86.1%1x
86.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 (*.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (cosh x) 2) (fma.f64 #s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))))
Calls

3 calls:

2.0ms
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
86.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
86.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
86.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.5%)

Memory
-31.5MiB live, 15.0MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #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))) (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:

4.0ms
x
3.0ms
(/.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
76.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
76.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
76.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.4%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #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)))) (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:

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
76.4%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
76.4%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
76.4%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.3%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.5b remaining (-1.5%)

Threshold costs -0.5b (-1.5%)

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

3 calls:

2.0ms
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
53.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
53.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
53.9%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch17.0ms (0.8%)

Memory
-24.2MiB live, 22.6MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.0834038604605675e+76
3.180349633183638e+77
Samples
9.0ms96×0valid
Compiler

Compiled 419 to 239 computations (43% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48.2% of total)
ival-neg: 1.0ms (24.1% of total)
ival-div!: 1.0ms (24.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch25.0ms (1.2%)

Memory
-10.2MiB live, 36.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.0441009823387725e-6
8.998064998611893
Samples
14.0ms144×0valid
Compiler

Compiled 308 to 254 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 7.0ms (72.1% of total)
ival-add!: 1.0ms (10.3% of total)
ival-neg: 1.0ms (10.3% of total)
ival-div!: 1.0ms (10.3% of total)
adjust: 0.0ms (0% of total)

derivations5.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 232 to 75 computations (67.7% saved)

preprocess93.0ms (4.4%)

Memory
15.8MiB live, 125.8MiB allocated; 19ms collecting garbage
Remove

(abs x)

Compiler

Compiled 944 to 446 computations (52.8% saved)

end0.0ms (0%)

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

Profiling

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