Hyperbolic secant

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze12.0ms (0.3%)

Memory
-41.1MiB live, 0.7MiB allocated; 14ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample794.0ms (21.5%)

Memory
32.5MiB live, 592.4MiB allocated; 122ms collecting garbage
Samples
521.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-exp: 118.0ms (46.3% of total)
ival-div: 56.0ms (22% of total)
ival-add: 38.0ms (14.9% of total)
ival-neg: 32.0ms (12.6% of total)
exact: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain84.0ms (2.3%)

Memory
-7.7MiB live, 93.3MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 7.0ms (43.9% of total)
ival-div: 3.0ms (18.8% of total)
ival-add: 2.0ms (12.5% of total)
ival-neg: 2.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess161.0ms (4.4%)

Memory
27.9MiB live, 117.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01224
13524
27524
324224
4182724
078
0128
1238
2518
31808
49876
565056
087096
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify175.0ms (4.7%)

Memory
5.6MiB live, 154.1MiB allocated; 52ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
cost-diff2
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0723
01223
12323
25123
318023
498719
5650519
0870919
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize26.0ms (0.7%)

Memory
-26.9MiB live, 19.9MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Samples
14.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (38.8% of total)
ival-div: 2.0ms (25.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-neg: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
5 → 24
Calls
Call 1
Inputs
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (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))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (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))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (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) (exp (neg x)) (neg x))
1.0ms
x
@0
((+ (exp x) (exp (neg x))) (/ 2 (+ (exp x) (exp (neg x)))) (exp x) (exp (neg x)) (neg x))
1.0ms
x
@-inf
((+ (exp x) (exp (neg x))) (/ 2 (+ (exp x) (exp (neg x)))) (exp x) (exp (neg x)) (neg x))

rewrite148.0ms (4%)

Memory
-20.3MiB live, 75.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095333
0102292
1548269
04701249
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
29 → 83
Calls
Call 1
Inputs
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (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))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (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))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp x) #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 (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))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval20.0ms (0.5%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 082 to 305 computations (71.8% saved)

prune4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh000
Picked101
Done000
Total76581
Accuracy
100.0%
Counts
81 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶51.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify151.0ms (4.1%)

Memory
12.6MiB live, 102.1MiB allocated; 11ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
cost-diff0
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024128
035128
162128
2171116
3546116
42206112
08651112
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(literal 5/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(literal 5/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize57.0ms (1.5%)

Memory
10.5MiB live, 55.6MiB allocated; 6ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.140625
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
accuracy31.15522371884216
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 x x #s(literal 2 binary64))
accuracy0.0078125
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy15.539510068038977
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy31.180717952419585
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy31.109496195436225
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy0.0
(cosh.f64 x)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
44.0ms256×0valid
Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 6.0ms (22.3% of total)
ival-add: 4.0ms (14.9% of total)
const: 4.0ms (14.9% of total)
ival-div: 3.0ms (11.2% of total)
ival-exp: 3.0ms (11.2% of total)
ival-cosh: 3.0ms (11.2% of total)
ival-sub: 1.0ms (3.7% of total)
exact: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
13 → 42
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* -1/2 (* x x)) 1) (* x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)))
3.0ms
x
@-inf
((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* -1/2 (* x x)) 1) (* x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)))
2.0ms
x
@0
((/ 1 (cosh x)) (cosh x) (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* -1/2 (* x x)) 1) (* x x) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)))

rewrite220.0ms (5.9%)

Memory
-20.4MiB live, 125.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142761
0157690
1720656
05760620
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
55 → 283
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 5/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 5/24 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)))
(*.f64 x (*.f64 #s(literal 5/24 binary64) x))
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 5/24 (* x x)) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/24 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 5/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 5/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 5/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 5/24 binary64)) x) x))
#s(approx (/ 1 (cosh x)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval57.0ms (1.5%)

Memory
0.0MiB live, 45.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 203 to 1 141 computations (84.2% saved)

prune10.0ms (0.3%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3444348
Fresh000
Picked145
Done000
Total3458353
Accuracy
100.0%
Counts
353 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶27.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶92.7%
(/.f64 #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))))
▶88.2%
(/.f64 #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))))
▶51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 117 to 83 computations (29.1% saved)

simplify133.0ms (3.6%)

Memory
-34.3MiB live, 63.9MiB allocated; 11ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) 2) (*.f64 x x))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
cost-diff0
(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))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.f64 #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))))
cost-diff0
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#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)))
cost-diff0
(/.f64 #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))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032227
050227
194227
2316227
31426227
45908221
08324218
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #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(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)))
(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))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #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(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)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #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(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)))
(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))
(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))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x

localize76.0ms (2.1%)

Memory
31.2MiB live, 76.6MiB allocated; 3ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
accuracy15.539510068038977
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
accuracy31.401072612687553
#s(approx (+ (* x x) 2) (*.f64 x x))
accuracy0.029628759768442016
(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))
accuracy0.046875
(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))
accuracy0.0859375
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy4.688160922939553
#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)))
accuracy0.0078125
(/.f64 #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))))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.08984375
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy7.527456687306761
#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)))
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
accuracy31.15522371884216
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Samples
59.0ms256×0valid
Compiler

Compiled 147 to 33 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 14.0ms (31.2% of total)
ival-add: 10.0ms (22.3% of total)
const: 9.0ms (20.1% of total)
ival-exp: 4.0ms (8.9% of total)
ival-div: 3.0ms (6.7% of total)
ival-cosh: 3.0ms (6.7% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory
-37.0MiB live, 9.1MiB allocated; 4ms collecting garbage
Counts
16 → 65
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(/.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (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)))
(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))
(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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (+ (* 1/720 (* x x)) 1/24))
4.0ms
x
@inf
((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (+ (* 1/720 (* x x)) 1/24))
1.0ms
x
@0
((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2) (+ (* 1/720 (* x x)) 1/24))

rewrite250.0ms (6.8%)

Memory
1.8MiB live, 151.9MiB allocated; 120ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011388
02271291
110891280
083911244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
81 → 371
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(/.f64 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (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)))
(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))
(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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64)))
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (-.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 5/24) -1/2) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/24 binary64)))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 5/24 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 5/24) -1/2) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
#s(approx (+ (* (* x x) 5/24) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) x))
#s(approx (/ 1 (cosh x)) (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
#s(approx (cosh x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))

eval99.0ms (2.7%)

Memory
20.6MiB live, 123.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 15 883 to 2 517 computations (84.2% saved)

prune22.0ms (0.6%)

Memory
1.6MiB live, 46.4MiB allocated; 5ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New6238631
Fresh000
Picked224
Done044
Total62514639
Accuracy
100.0%
Counts
639 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
92.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
▶87.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 416 to 275 computations (33.9% saved)

simplify186.0ms (5%)

Memory
-25.7MiB live, 158.0MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff1
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037429
066422
1113422
2307422
31273422
44141422
08273422
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/24 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize94.0ms (2.5%)

Memory
43.5MiB live, 135.5MiB allocated; 8ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy0.0859375
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
accuracy0.19140625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
accuracy4.688160922939553
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.04296875
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy0.19140625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
accuracy4.688160922939553
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.046875
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
accuracy0.05078125
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.29296875
(*.f64 #s(literal 1/24 binary64) x)
accuracy7.527456687306761
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.05078125
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
accuracy0.19921875
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
accuracy7.527456687306761
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
accuracy31.44429153129422
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
accuracy0.03515625
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy0.046875
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy4.688160922939553
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 278 to 36 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 20.0ms (42.7% of total)
ival-add: 11.0ms (23.5% of total)
const: 6.0ms (12.8% of total)
ival-div: 5.0ms (10.7% of total)
ival-cosh: 3.0ms (6.4% of total)
ival-sub: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.6%)

Memory
-40.8MiB live, 16.6MiB allocated; 7ms collecting garbage
Counts
26 → 93
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 1/2))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@inf
((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (/ 1 (cosh x)) (cosh x) (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* (* x x) 1/24) (* 1/24 x) (* (+ (* (* x x) 1/720) 1/24) x) (* (* (+ (* (* x x) 1/720) 1/24) x) x))
3.0ms
x
@-inf
((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (/ 1 (cosh x)) (cosh x) (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* (* x x) 1/24) (* 1/24 x) (* (+ (* (* x x) 1/720) 1/24) x) (* (* (+ (* (* x x) 1/720) 1/24) x) x))
2.0ms
x
@0
((/ 1 (cosh x)) (cosh x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) (+ (* (* 1/24 x) x) 1/2) (/ 1 (cosh x)) (cosh x) (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (/ 1 (cosh x)) (cosh x) (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* (* x x) 1/24) (* 1/24 x) (* (+ (* (* x x) 1/720) 1/24) x) (* (* (+ (* (* x x) 1/720) 1/24) x) x))

rewrite247.0ms (6.7%)

Memory
22.0MiB live, 260.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02372413
02842266
110932259
075912210
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
119 → 725
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 1/2))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* 1/24 x) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/720) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* 1/720 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) #s(hole binary64 (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))))
Outputs
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
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#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* (* x x) 1/720) 1/24) x) x) -1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (* x x) 1/720) 1/24) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (* (+ (* (* x x) 1/720) 1/24) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval79.0ms (2.1%)

Memory
-24.1MiB live, 66.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 15 263 to 2 545 computations (83.3% saved)

prune19.0ms (0.5%)

Memory
45.6MiB live, 45.6MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New5326538
Fresh123
Picked145
Done066
Total53418552
Accuracy
100.0%
Counts
552 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓27.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
92.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓92.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
92.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
87.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
✓87.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
87.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓51.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓51.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 791 to 365 computations (53.9% saved)

regimes21.0ms (0.6%)

Memory
-28.8MiB live, 22.9MiB allocated; 7ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

6.0ms
x
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes16.0ms (0.4%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

6.0ms
x
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
92.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
92.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes14.0ms (0.4%)

Memory
-26.3MiB live, 18.8MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.6%1x
92.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
92.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.3%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
88.2%1x
88.2%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
88.2%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
87.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
87.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
87.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.2%)

Memory
-37.8MiB live, 8.7MiB allocated; 2ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
75.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
75.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
75.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
75.7%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
75.7%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
75.7%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
51.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
51.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
51.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch14.0ms (0.4%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.00041704860705129356
4.808276110935268
Samples
7.0ms128×0valid
Compiler

Compiled 275 to 227 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (63.6% of total)
ival-div: 1.0ms (21.2% of total)
ival-add: 1.0ms (21.2% of total)
ival-neg: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (1.2%)

Memory
-9.0MiB live, 37.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058152
182152
2176152
3523152
42184144
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

derivations305.0ms (8.3%)

Memory
10.3MiB live, 253.4MiB allocated; 49ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 152 to 62 computations (59.2% saved)

preprocess79.0ms (2.1%)

Memory
-23.4MiB live, 68.1MiB allocated; 9ms collecting garbage
Remove

(abs x)

Compiler

Compiled 328 to 146 computations (55.5% saved)

end0.0ms (0%)

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

Profiling

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