Hyperbolic sine

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 10 to 9 computations (10% saved)

sample2.0s (61.7%)

Memory
-36.0MiB live, 1 657.7MiB allocated; 959ms collecting garbage
Samples
749.0ms1 624×2valid
392.0ms2 394×1valid
211.0ms4 238×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 915.0ms (79.9% of total)
adjust: 77.0ms (6.7% of total)
ival-div!: 74.0ms (6.5% of total)
ival-sub!: 45.0ms (3.9% of total)
ival-neg: 34.0ms (3% of total)
Bogosity

explain132.0ms (4%)

Memory
1.4MiB live, 239.7MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1250
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-00131
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms102×2valid
22.0ms148×1valid
14.0ms262×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-exp: 46.0ms (74.6% of total)
ival-div!: 7.0ms (11.3% of total)
adjust: 5.0ms (8.1% of total)
ival-neg: 3.0ms (4.9% of total)
ival-sub!: 2.0ms (3.2% of total)

preprocess34.0ms (1%)

Memory
-16.6MiB live, 28.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1407
2947
35497
451547
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
7 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (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
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

rewrite211.0ms (6.4%)

Memory
17.4MiB live, 195.3MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105354
0111285
1625274
05382252
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 88
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (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 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.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)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.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 (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg 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 (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.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)) x) x #s(literal 2 binary64)) x))
#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 (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.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 (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval8.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 158 to 332 computations (71.3% saved)

prune3.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480
Accuracy
100.0%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 (exp.f64 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))))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
51.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 47 to 33 computations (29.8% saved)

series10.0ms (0.3%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
18 → 47
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 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))))) #s(literal 2 binary64))
(-.f64 (exp.f64 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)))))
(exp.f64 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))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (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 (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 1))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 1))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (pow (exp (* -1/2 x)) 2)))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (- (exp x) (pow (exp (* -1/2 x)) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (pow (exp (* -1/2 x)) 2)))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (exp (* -1/2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)
3.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)
3.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)

rewrite233.0ms (7.1%)

Memory
-14.8MiB live, 173.0MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174937
0188706
1916582
07671536
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
65 → 294
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 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))))) #s(literal 2 binary64))
(-.f64 (exp.f64 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)))))
(exp.f64 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))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (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 (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 1))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 1))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (pow (exp (* -1/2 x)) 2)))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (- (exp x) (pow (exp (* -1/2 x)) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (pow (exp (* -1/2 x)) 2)))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (exp (* -1/2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
Outputs
#s(approx (sinh x) x)
x
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) (exp.f64 #s(literal -1/2 binary64))) x)
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (+.f64 x x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(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) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.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) (neg.f64 (exp.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x))) (*.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (*.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (fabs.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 4 binary64)) (/.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(fabs.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) x))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64))) (*.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))) (-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))) (*.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))
(-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64)))
(+.f64 (sinh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 2 binary64)
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (+.f64 x x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (*.f64 (fma.f64 (*.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)) x) x #s(literal 2 binary64)) x))
#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 (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(literal 1 binary64))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (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 (pow (exp -1) (/ x 2)) #s(literal 1 binary64))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (exp.f64 (neg.f64 x)))
#s(approx (pow (exp -1) (/ x 2)) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))

eval34.0ms (1%)

Memory
15.1MiB live, 59.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 516 to 1 219 computations (81.3% saved)

prune12.0ms (0.4%)

Memory
-44.0MiB live, 17.4MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2954299
Fresh000
Picked224
Done000
Total2976303
Accuracy
100.0%
Counts
303 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
51.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 93 to 69 computations (25.8% saved)

series10.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Counts
24 → 64
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 1))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 1))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (exp (neg x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (exp (* -1 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) 2)
3.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) 2)
3.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) (* 1/6 x) 1 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) 2)

rewrite212.0ms (6.4%)

Memory
-3.2MiB live, 186.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951164
0216860
1922824
07118771
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
88 → 359
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 1))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 1))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* 1/6 x) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* 1/6 x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (exp (neg x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(hole binary64 (exp (* -1 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
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(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 x) (neg.f64 (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)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(fabs.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.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(literal 2 binary64)
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) x)
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.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 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (* (* (* x x) x) 1/6) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) x)
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.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 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (+.f64 x x))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg 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 (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (*.f64 (fma.f64 (*.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)) x) x #s(literal 2 binary64)) x))
#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 (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(literal 1 binary64))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (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 (sqrt (exp (neg x))) #s(literal 1 binary64))
#s(approx (sqrt (exp (neg x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) #s(literal 1 binary64))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (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 (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (exp.f64 (neg.f64 x)))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (/ (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (sqrt (exp (neg x))) (sqrt (exp (neg x))))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (exp.f64 (neg.f64 x)))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (sqrt (exp (neg x))) (sqrt (exp (neg x)))) (exp.f64 (neg.f64 x)))

eval38.0ms (1.2%)

Memory
19.3MiB live, 63.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 680 to 1 396 computations (81.8% saved)

prune13.0ms (0.4%)

Memory
-25.7MiB live, 20.5MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3401341
Fresh000
Picked134
Done022
Total3416347
Accuracy
100.0%
Counts
347 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
51.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 93 to 69 computations (25.8% saved)

series4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
7 → 17
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x)
1.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x)
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x)

rewrite120.0ms (3.6%)

Memory
-3.5MiB live, 91.4MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069322
072269
1330247
02438226
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
24 → 39
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.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 (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* 1/6 x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))

eval3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 691 to 140 computations (79.7% saved)

prune4.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done055
Total28634
Accuracy
100.0%
Counts
34 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.8%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
37.0%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
51.5%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 253 to 123 computations (51.4% saved)

regimes8.0ms (0.3%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 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))))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

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

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.8%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
82.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.8%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.7%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
82.7%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.7%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
51.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
51.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
51.5%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch20.0ms (0.6%)

Memory
-37.1MiB live, 11.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.7230844297704999
731563.5952644432
Samples
14.0ms144×0valid
Compiler

Compiled 335 to 272 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 9.0ms (80.8% of total)
ival-neg: 1.0ms (9% of total)
ival-div!: 1.0ms (9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations99.0ms (3%)

Memory
1.2MiB live, 46.1MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 69 to 29 computations (58% saved)

preprocess37.0ms (1.1%)

Memory
20.8MiB live, 65.0MiB allocated; 6ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 292 to 164 computations (43.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...