Hyperbolic sine

Time bar (total: 2.7s)

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%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (52.2%)

Memory
24.9MiB live, 1 923.3MiB allocated; 227ms collecting garbage
Samples
647.0ms1 658×2valid
358.0ms2 373×1valid
191.0ms4 225×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-exp: 779.0ms (77.7% of total)
adjust: 78.0ms (7.8% of total)
ival-div!: 69.0ms (6.9% of total)
ival-sub!: 43.0ms (4.3% of total)
ival-neg: 34.0ms (3.4% of total)
Bogosity

explain122.0ms (4.5%)

Memory
-12.0MiB live, 185.6MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1240
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms78×2valid
23.0ms160×1valid
15.0ms274×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 39.0ms (72.2% of total)
adjust: 5.0ms (9.3% of total)
ival-div!: 5.0ms (9.3% of total)
ival-sub!: 2.0ms (3.7% of total)
ival-neg: 2.0ms (3.7% of total)

preprocess35.0ms (1.3%)

Memory
-32.0MiB live, 13.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1407
2947
35497
451547
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
7 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

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

rewrite164.0ms (6%)

Memory
32.4MiB live, 176.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval9.0ms (0.3%)

Memory
-32.3MiB live, 13.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 164 to 332 computations (71.5% saved)

prune2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New76480
Fresh000
Picked101
Done000
Total77481
Accuracy
100.0%
Counts
81 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
50.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 51 to 36 computations (29.4% saved)

series16.0ms (0.6%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
21 → 68
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
(/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 x))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* 2 x)))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 1/2))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 x)))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (+ 1 (* 3/4 x))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (+ 1 (* x (+ 3/4 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #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 (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 1/2))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* -1 x))))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (- (* 3/4 x) 1)))))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 3/4 (* -1/6 x))) 1)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (* 2 (cosh x)) #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 (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (/ (exp (+ x x)) (* 2 (cosh x))) (exp (+ x x)) (+ x x) (* 2 (cosh x)) 2 (cosh x) (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (exp (* (neg x) 2)) (* (neg x) 2) (neg x))
6.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (/ (exp (+ x x)) (* 2 (cosh x))) (exp (+ x x)) (+ x x) (* 2 (cosh x)) 2 (cosh x) (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (exp (* (neg x) 2)) (* (neg x) 2) (neg x))
3.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (/ (exp (+ x x)) (* 2 (cosh x))) (exp (+ x x)) (+ x x) (* 2 (cosh x)) 2 (cosh x) (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (exp (* (neg x) 2)) (* (neg x) 2) (neg x))

rewrite156.0ms (5.7%)

Memory
14.7MiB live, 199.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491400
0274995
11395961
08191907
Stop Event
iter-limit
node-limit
iter-limit
Counts
89 → 307
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sinh.f64 x)
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
(/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 x))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* 2 x)))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 1/2))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 x)))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (+ 1 (* 3/4 x))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (+ 1 (* x (+ 3/4 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (cosh x)) #s(hole binary64 2))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* 2 (cosh x)) #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 (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 1/2))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* -1 x))))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (- (* 3/4 x) 1)))))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 3/4 (* -1/6 x))) 1)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 1))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* (neg x) 2) #s(hole binary64 (* -2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (* 2 (cosh x)) #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 (* (neg x) 2)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (* (neg x) 2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) #s(hole binary64 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(hole binary64 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
#s(approx (sinh x) x)
x
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
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(/.f64 (-.f64 (*.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (*.f64 (sinh.f64 (neg.f64 (+.f64 x x))) (sinh.f64 (neg.f64 (+.f64 x x))))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (+.f64 x x))) (sinh.f64 (neg.f64 (+.f64 x x)))) (*.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (neg.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (neg.f64 (+.f64 x x)))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(neg.f64 (+.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (+.f64 x x))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) #s(literal 1/2 binary64))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) (+.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) (fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/4 binary64)) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (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 (/ (exp (* (neg x) 2)) (* 2 (cosh x))) #s(literal 1/2 binary64))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (+.f64 #s(literal 1/2 binary64) (neg.f64 x)))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal -1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 3/4 binary64)) x #s(literal -1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (exp (* (neg x) 2)) #s(literal 1 binary64))
#s(approx (exp (* (neg x) 2)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (neg x) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (neg x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (* 2 (cosh x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (/ (exp (* (neg x) 2)) (* 2 (cosh x))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (* (neg x) 2)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (- (/ (exp (+ x x)) (* 2 (cosh x))) (/ (exp (* (neg x) 2)) (* 2 (cosh x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (/ (exp (+ x x)) (* 2 (cosh x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval29.0ms (1.1%)

Memory
10.5MiB live, 57.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 9 085 to 1 487 computations (83.6% saved)

prune11.0ms (0.4%)

Memory
-13.0MiB live, 31.7MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3095314
Fresh000
Picked224
Done000
Total3117318
Accuracy
100.0%
Counts
318 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
50.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 242 to 174 computations (28.1% saved)

series16.0ms (0.6%)

Memory
-35.5MiB live, 21.7MiB allocated; 4ms collecting garbage
Counts
31 → 78
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 1))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 x))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* 2 x)))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 1/2))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 x)))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (+ 1 (* 3/4 x))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (+ 1 (* x (+ 3/4 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (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 (* -2 x)) (* (cosh x) 2)) #s(hole binary64 1/2))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* -1 x))))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (- (* 3/4 x) 1)))))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 3/4 (* -1/6 x))) 1)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#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 (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* (* x x) x) 1/6) x) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* x (* 1/6 x)) 1) x) (+ (* x (* 1/6 x)) 1) (* 1/6 x) 1 (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (/ (exp (+ x x)) (* (cosh x) 2)) (exp (+ x x)) (+ x x) (* (cosh x) 2) (cosh x) 2 (/ (exp (* -2 x)) (* (cosh x) 2)) (exp (* -2 x)) (* -2 x) -2)
5.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* (* x x) x) 1/6) x) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* x (* 1/6 x)) 1) x) (+ (* x (* 1/6 x)) 1) (* 1/6 x) 1 (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (/ (exp (+ x x)) (* (cosh x) 2)) (exp (+ x x)) (+ x x) (* (cosh x) 2) (cosh x) 2 (/ (exp (* -2 x)) (* (cosh x) 2)) (exp (* -2 x)) (* -2 x) -2)
4.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* (* x x) x) 1/6) x) (* (* x x) x) (* x x) x 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* x (* 1/6 x)) 1) x) (+ (* x (* 1/6 x)) 1) (* 1/6 x) 1 (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (/ (exp (+ x x)) (* (cosh x) 2)) (exp (+ x x)) (+ x x) (* (cosh x) 2) (cosh x) 2 (/ (exp (* -2 x)) (* (cosh x) 2)) (exp (* -2 x)) (* -2 x) -2)

rewrite192.0ms (7%)

Memory
32.0MiB live, 241.9MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701675
03011316
114381195
083621147
Stop Event
iter-limit
node-limit
iter-limit
Counts
109 → 329
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 1))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 x))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* 2 x)))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 1/2))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 x)))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (+ 1 (* 3/4 x))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (+ 1 (* x (+ 3/4 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (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 (* -2 x)) (* (cosh x) 2)) #s(hole binary64 1/2))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* -1 x))))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (- (* 3/4 x) 1)))))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 3/4 (* -1/6 x))) 1)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* x (* 1/6 x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (- (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#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 (* -2 x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) 2) #s(hole binary64 (* 1/2 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) #s(hole binary64 (- (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))) (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(hole binary64 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* x (* 1/6 x)) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1/6 binary64)))
(-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)
(+.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
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#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (+.f64 x x))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) #s(literal 1/2 binary64))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) (+.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) (fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/4 binary64)) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (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 (/ (exp (* -2 x)) (* (cosh x) 2)) #s(literal 1/2 binary64))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 x)))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) (fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal -1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 3/4 binary64)) x #s(literal -1 binary64)) x #s(literal 1/2 binary64)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* (* x x) x) 1/6) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* x x) x) 1/6) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* x (* 1/6 x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* x (* 1/6 x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* x (* 1/6 x)) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* x (* 1/6 x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* x (* 1/6 x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (exp (* -2 x)) (* (cosh x) 2)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (- (/ (exp (+ x x)) (* (cosh x) 2)) (/ (exp (* -2 x)) (* (cosh x) 2))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (/ (exp (+ x x)) (* (cosh x) 2)) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval59.0ms (2.2%)

Memory
19.3MiB live, 103.3MiB allocated; 31ms collecting garbage
Compiler

Compiled 11 746 to 1 766 computations (85% saved)

prune10.0ms (0.4%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3914395
Fresh000
Picked145
Done022
Total39210402
Accuracy
100.0%
Counts
402 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
50.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 203 to 149 computations (26.6% saved)

series51.0ms (1.9%)

Memory
-17.9MiB live, 47.9MiB allocated; 43ms collecting garbage
Counts
29 → 72
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1/6 binary64)
(*.f64 (*.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x)))
(/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(cosh.f64 x)
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 x))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* -1/6 (* (* x x) x)) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 x))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* 4 x)))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* 2/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 1))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 3/2 x))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 3/2 (* 1/3 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (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 (* -2 x)) (cosh x)) #s(hole binary64 1))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* x (- (* 3/2 x) 2)))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/2 (* -1/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* 1/4 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 1/2 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* 1/4 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 1/2 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (- x (* -1/6 (* (* x x) x))) (* -1/6 (* (* x x) x)) -1/6 (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) (/ (exp (+ x x)) (cosh x)) (exp (+ x x)) (+ x x) (cosh x) (/ (exp (* -2 x)) (cosh x)) (exp (* -2 x)) (* -2 x) -2 2)
5.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (- x (* -1/6 (* (* x x) x))) (* -1/6 (* (* x x) x)) -1/6 (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) (/ (exp (+ x x)) (cosh x)) (exp (+ x x)) (+ x x) (cosh x) (/ (exp (* -2 x)) (cosh x)) (exp (* -2 x)) (* -2 x) -2 2)
3.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (- x (* -1/6 (* (* x x) x))) (* -1/6 (* (* x x) x)) -1/6 (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) (/ (exp (+ x x)) (cosh x)) (exp (+ x x)) (+ x x) (cosh x) (/ (exp (* -2 x)) (cosh x)) (exp (* -2 x)) (* -2 x) -2 2)

rewrite189.0ms (6.9%)

Memory
-23.5MiB live, 205.6MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751675
03051476
114391350
081771279
Stop Event
iter-limit
node-limit
iter-limit
Counts
101 → 239
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1/6 binary64)
(*.f64 (*.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x)))
(/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x))
(exp.f64 (+.f64 x x))
(+.f64 x x)
(cosh.f64 x)
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 x))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* -1/6 (* (* x x) x)) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 x))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* 4 x)))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* 2/3 (pow x 2))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 2))))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 1))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 3/2 x))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 3/2 (* 1/3 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 1))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (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 (* -2 x)) (cosh x)) #s(hole binary64 1))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* x (- (* 3/2 x) 2)))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/2 (* -1/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (* -1/6 (* (* x x) x))) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* 1/4 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 1/2 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (- (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (* 2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (exp (* -2 x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) #s(hole binary64 (* 1/4 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) #s(hole binary64 (* 1/2 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x)))))))))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) #s(hole binary64 (- (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ (exp (* -2 x)) (+ (exp x) (/ 1 (exp x))))))))
#s(approx (/ (exp (+ x x)) (cosh x)) #s(hole binary64 (* 2 (/ (exp (neg (* -2 x))) (+ (exp x) (/ 1 (exp x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 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 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64)) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/6 binary64)))
(-.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(+.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))
(+.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/6 binary64)))
(+.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))
#s(literal -1/6 binary64)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (cosh.f64 x))) #s(literal -4 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
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#s(approx (/ (exp (+ x x)) (cosh x)) #s(literal 1 binary64))
#s(approx (/ (exp (+ x x)) (cosh x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (exp (+ x x)) (cosh x)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (exp (+ x x)) (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) #s(literal 1 binary64))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (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 (/ (exp (* -2 x)) (cosh x)) #s(literal 1 binary64))
#s(approx (/ (exp (* -2 x)) (cosh x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (exp (* -2 x)) (cosh x)) (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (exp (* -2 x)) (cosh x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (- x (* -1/6 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (* -1/6 (* (* x x) x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64)))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (/ (exp (+ x x)) (cosh x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp (* -2 x)) (cosh x)) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
#s(approx (exp (* -2 x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (/ (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) 2) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64)))
#s(approx (/ (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)))
#s(approx (- (/ (exp (+ x x)) (cosh x)) (/ (exp (* -2 x)) (cosh x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (/ (exp (+ x x)) (cosh x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval27.0ms (1%)

Memory
-0.5MiB live, 44.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 242 to 1 312 computations (81.9% saved)

prune10.0ms (0.4%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New2510251
Fresh000
Picked044
Done066
Total25110261
Accuracy
100.0%
Counts
261 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
82.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
36.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
50.6%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 474 to 226 computations (52.3% saved)

regimes11.0ms (0.4%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (cosh.f64 x)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes9.0ms (0.3%)

Memory
-36.3MiB live, 10.5MiB allocated; 1ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) x)))
Calls

3 calls:

4.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.6%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
82.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
81.6%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
81.6%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
81.6%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
50.6%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
50.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
50.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch12.0ms (0.5%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.8159350763665824
1754.1801484152732
Samples
7.0ms128×0valid
Compiler

Compiled 299 to 243 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (74.8% of total)
ival-neg: 1.0ms (24.9% of total)
ival-div!: 1.0ms (24.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations137.0ms (5%)

Memory
-39.4MiB live, 107.5MiB allocated; 12ms collecting garbage
Stop Event
done
Compiler

Compiled 79 to 28 computations (64.6% saved)

preprocess35.0ms (1.3%)

Memory
14.1MiB live, 60.0MiB allocated; 3ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 332 to 174 computations (47.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...