exp2 (problem 3.3.7)

Time bar (total: 5.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.8s (70.8%)

Memory
56.3MiB live, 3 878.4MiB allocated; 1.9s collecting garbage
Samples
3.1s5 802×2valid
306.0ms2 327×1valid
10.0ms127×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-exp: 2.1s (77.6% of total)
adjust: 381.0ms (14.3% of total)
ival-neg: 83.0ms (3.1% of total)
ival-sub!: 79.0ms (3% of total)
ival-add!: 52.0ms (2% of total)
Bogosity

explain235.0ms (4.4%)

Memory
-2.7MiB live, 231.8MiB allocated; 43ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))cancellation1281
Confusion
Predicted +Predicted -
+1281
-0127
Precision
1.0
Recall
0.9922480620155039
Confusion?
Predicted +Predicted MaybePredicted -
+12810
-00127
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0128
1128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
143.0ms384×2valid
25.0ms122×1valid
0.0ms0valid
Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-exp: 111.0ms (75.9% of total)
adjust: 16.0ms (10.9% of total)
ival-add!: 12.0ms (8.2% of total)
ival-sub!: 4.0ms (2.7% of total)
ival-neg: 2.0ms (1.4% of total)

preprocess28.0ms (0.5%)

Memory
-23.0MiB live, 22.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01225
14025
211325
348224
4235824
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
7 → 24
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

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

rewrite164.0ms (3%)

Memory
-4.9MiB live, 147.4MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090312
097304
1545289
04664268
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
31 → 101
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.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 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
#s(literal 2 binary64)
(*.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 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp 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 (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) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.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) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 654 to 340 computations (79.4% saved)

prune6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New947101
Fresh000
Picked101
Done000
Total957102
Accuracy
100.0%
Counts
102 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
53.6%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
53.7%
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
99.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 266 to 168 computations (36.8% saved)

series26.0ms (0.5%)

Memory
-26.9MiB live, 19.9MiB allocated; 2ms collecting garbage
Counts
26 → 94
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)
5.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)
3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2)

rewrite174.0ms (3.2%)

Memory
17.7MiB live, 247.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02692385
03072248
113152143
085882046
Stop Event
iter-limit
node-limit
iter-limit
Counts
120 → 800
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))
Outputs
#s(approx (- (* (cosh x) 2) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
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(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (- (* (cosh x) 2) 2) (*.f64 x x))
#s(approx (- (* (cosh x) 2) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) x)
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (- (* (cosh x) 2) 2) (*.f64 x x))
#s(approx (- (* (cosh x) 2) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/360 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/360 binary64)) (*.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/360 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval112.0ms (2.1%)

Memory
-0.9MiB live, 240.4MiB allocated; 25ms collecting garbage
Compiler

Compiled 29 970 to 3 994 computations (86.7% saved)

prune25.0ms (0.5%)

Memory
22.7MiB live, 70.1MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 01161 017
Fresh022
Picked145
Done000
Total1 012121 024
Accuracy
100.0%
Counts
1 024 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
53.7%
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
53.6%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
52.9%
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
52.8%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
52.5%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
53.7%
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 369 to 230 computations (37.7% saved)

series18.0ms (0.3%)

Memory
-11.9MiB live, 35.1MiB allocated; 3ms collecting garbage
Counts
31 → 103
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))
(exp.f64 x)
(fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* 7 (pow x 2))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* 11 x)))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 7))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* 4 x))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* x (+ 4 (* 3 x))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))))
#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 (+ (* (exp x) 2) 4) #s(hole binary64 6))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* 2 x))))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* x (+ 2 x)))))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* x (+ 2 (* x (+ 1 (* 1/3 x))))))))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 -7))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* -4 x) 7)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* x (- (* 4 x) 4)) 7)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 -7))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* 3 x) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* x (+ 3 (* 9/2 x))) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 7))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* 11 x))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* x (+ 11 (* 21/2 x))))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (/ (+ 4 (+ (* 2 (exp x)) (+ (* (exp x) (- (pow (exp x) 3) 8)) (pow (exp x) 2)))) (* (exp x) (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2)))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (+ 4 (+ (* 2 (exp x)) (+ (* (exp x) (- (pow (exp x) 3) 8)) (pow (exp x) 2))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 4 (* 2 (exp x)))))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (* (exp x) (- (pow (exp x) 3) 8))))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (pow (exp x) 3) 8)))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (* (exp x) (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (neg x)) (neg x) (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (exp x) (+ (* (exp x) 2) 4) 4 (* (exp x) (- (pow (exp x) 3) 8)) (- (pow (exp x) 3) 8) (pow (exp x) 3) 3 8 (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))))
5.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (neg x)) (neg x) (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (exp x) (+ (* (exp x) 2) 4) 4 (* (exp x) (- (pow (exp x) 3) 8)) (- (pow (exp x) 3) 8) (pow (exp x) 3) 3 8 (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))))
5.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) (* x x) x 1/12 1 (- (* (cosh x) 2) 2) (* (cosh x) 2) 2 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1) (exp (neg x)) (neg x) (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (exp x) (+ (* (exp x) 2) 4) 4 (* (exp x) (- (pow (exp x) 3) 8)) (- (pow (exp x) 3) 8) (pow (exp x) 3) 3 8 (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))))

rewrite218.0ms (4.1%)

Memory
-53.3MiB live, 269.0MiB allocated; 99ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03342066
03791879
119391851
088621765
Stop Event
iter-limit
node-limit
iter-limit
Counts
134 → 455
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))
(exp.f64 x)
(fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* 7 (pow x 2))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* 11 x)))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 7))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* 4 x))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* x (+ 4 (* 3 x))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))))
#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 (+ (* (exp x) 2) 4) #s(hole binary64 6))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* 2 x))))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* x (+ 2 x)))))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 6 (* x (+ 2 (* x (+ 1 (* 1/3 x))))))))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 -7))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* -4 x) 7)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* x (- (* 4 x) 4)) 7)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (- (* x (- (* x (+ 4 (* 28/3 x))) 4)) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 -7))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* 3 x) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* x (+ 3 (* 9/2 x))) 7)))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 7))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* 11 x))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* x (+ 11 (* 21/2 x))))))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)))) #s(hole binary64 (/ (+ 4 (+ (* 2 (exp x)) (+ (* (exp x) (- (pow (exp x) 3) 8)) (pow (exp x) 2)))) (* (exp x) (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2)))))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) #s(hole binary64 (+ 4 (+ (* 2 (exp x)) (+ (* (exp x) (- (pow (exp x) 3) 8)) (pow (exp x) 2))))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(hole binary64 (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (* (exp x) 2) 4) #s(hole binary64 (+ 4 (* 2 (exp x)))))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(hole binary64 (* (exp x) (- (pow (exp x) 3) 8))))
#s(approx (- (pow (exp x) 3) 8) #s(hole binary64 (- (pow (exp x) 3) 8)))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(hole binary64 (* (exp x) (+ 4 (+ (* 2 (exp x)) (pow (exp x) 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(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 1/12 binary64)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))))
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#s(literal 3 binary64)
#s(literal 8 binary64)
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#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (* (cosh x) 2) #s(literal 2 binary64))
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#s(approx (- (exp x) 1) x)
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#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (*.f64 #s(literal 7 binary64) (*.f64 x x)))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (*.f64 (fma.f64 #s(literal 11 binary64) x #s(literal 7 binary64)) (*.f64 x x)))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (*.f64 (fma.f64 (fma.f64 #s(literal 133/12 binary64) x #s(literal 11 binary64)) x #s(literal 7 binary64)) (*.f64 x x)))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 35/4 binary64) x #s(literal 133/12 binary64)) x #s(literal 11 binary64)) x #s(literal 7 binary64)) (*.f64 x x)))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) #s(literal 7 binary64))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (fma.f64 #s(literal 4 binary64) x #s(literal 7 binary64)))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal 7 binary64)))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/3 binary64) x #s(literal 3 binary64)) x #s(literal 4 binary64)) x #s(literal 7 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#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 (+ (* (exp x) 2) 4) #s(literal 6 binary64))
#s(approx (+ (* (exp x) 2) 4) (fma.f64 #s(literal 2 binary64) x #s(literal 6 binary64)))
#s(approx (+ (* (exp x) 2) 4) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 6 binary64)))
#s(approx (+ (* (exp x) 2) 4) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x #s(literal 6 binary64)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) #s(literal -7 binary64))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 7 binary64)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) x) #s(literal 7 binary64)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 28/3 binary64) x #s(literal 4 binary64)) x) #s(literal 4 binary64)) x) #s(literal 7 binary64)))
#s(approx (- (pow (exp x) 3) 8) #s(literal -7 binary64))
#s(approx (- (pow (exp x) 3) 8) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 7 binary64)))
#s(approx (- (pow (exp x) 3) 8) (-.f64 (*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x) #s(literal 7 binary64)))
#s(approx (- (pow (exp x) 3) 8) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) #s(literal 7 binary64)))
#s(approx (pow (exp x) 3) #s(literal 1 binary64))
#s(approx (pow (exp x) 3) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) #s(literal 7 binary64))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (fma.f64 #s(literal 11 binary64) x #s(literal 7 binary64)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (fma.f64 (fma.f64 #s(literal 21/2 binary64) x #s(literal 11 binary64)) x #s(literal 7 binary64)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (fma.f64 (fma.f64 (fma.f64 #s(literal 47/6 binary64) x #s(literal 21/2 binary64)) x #s(literal 11 binary64)) x #s(literal 7 binary64)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (* (* x x) 1/12) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (* (* x x) 1/12) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (/.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)))))
#s(approx (+ (* 1 (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (* (exp x) (- (pow (exp x) 3) 8))) (+.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (exp x) 2) 4) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)))
#s(approx (* (exp x) (- (pow (exp x) 3) 8)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)))
#s(approx (- (pow (exp x) 3) 8) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))
#s(approx (pow (exp x) 3) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
#s(approx (* (exp x) (+ (* (exp x) (exp x)) (+ (* (exp x) 2) 4))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval69.0ms (1.3%)

Memory
17.0MiB live, 155.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 22 382 to 2 138 computations (90.4% saved)

prune13.0ms (0.2%)

Memory
-18.7MiB live, 33.3MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New6152617
Fresh213
Picked235
Done044
Total61910629
Accuracy
100.0%
Counts
629 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
7.6%
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
52.9%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
52.8%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
52.5%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 154 to 108 computations (29.9% saved)

series5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
17 → 50
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(expm1.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 x))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 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 (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (- 1 (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (- 1 (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) x 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (- (- (exp x) 1) (- 1 (exp (neg x)))) (- (exp x) 1) (- 1 (exp (neg x))) (exp (neg x)) (neg x))
2.0ms
x
@-inf
((- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) x 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (- (- (exp x) 1) (- 1 (exp (neg x)))) (- (exp x) 1) (- 1 (exp (neg x))) (exp (neg x)) (neg x))
1.0ms
x
@0
((- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* x x) 2) x 2 (- (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (- (- (exp x) 1) (- 1 (exp (neg x)))) (- (exp x) 1) (- 1 (exp (neg x))) (exp (neg x)) (neg x))

rewrite144.0ms (2.7%)

Memory
10.7MiB live, 246.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0173820
0189765
1994738
08334681
Stop Event
iter-limit
node-limit
iter-limit
Counts
67 → 400
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(expm1.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 x))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 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 (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(hole binary64 (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (- 1 (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 1 (exp (neg x))) #s(hole binary64 (- 1 (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(-.f64 (*.f64 x x) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
x
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64)))) #s(literal -2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (fma.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
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(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 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 -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.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 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 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(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (*.f64 x x))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (* (cosh x) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (*.f64 x x))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- 1 (exp (neg x))) x)
#s(approx (- 1 (exp (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- 1 (exp (neg x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- 1 (exp (neg x))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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) 1) (- 1 (exp (neg x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/12) 1) (* x x)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- 1 (exp (neg x))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (- (exp x) 1) (- 1 (exp (neg x)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(approx (- 1 (exp (neg x))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval46.0ms (0.9%)

Memory
11.4MiB live, 103.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 8 890 to 1 641 computations (81.5% saved)

prune21.0ms (0.4%)

Memory
-5.4MiB live, 46.3MiB allocated; 11ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4411442
Fresh000
Picked033
Done167
Total44210452
Accuracy
100.0%
Counts
452 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
7.6%
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
52.9%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
52.8%
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
52.5%
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
99.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.4%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 431 to 196 computations (54.5% saved)

regimes13.0ms (0.2%)

Memory
-12.0MiB live, 31.8MiB allocated; 6ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
Calls

2 calls:

5.0ms
x
4.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.5%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.5%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.4%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.4%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes20.0ms (0.4%)

Memory
-28.6MiB live, 10.5MiB allocated; 25ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
Calls

2 calls:

18.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.1%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.1%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 #s(approx (* (cosh x) 2) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
52.5%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
52.5%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations172.0ms (3.2%)

Memory
-32.6MiB live, 162.8MiB allocated; 54ms collecting garbage
Stop Event
fuel
Compiler

Compiled 111 to 36 computations (67.6% saved)

preprocess33.0ms (0.6%)

Memory
24.9MiB live, 71.8MiB allocated; 2ms collecting garbage
Remove

(abs x)

Compiler

Compiled 482 to 254 computations (47.3% saved)

end0.0ms (0%)

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

Profiling

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