Kahan's exp quotient

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (35.4%)

Memory
-60.5MiB live, 551.4MiB allocated; 1.3s collecting garbage
Samples
997.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 836.0ms
ival-expm1: 769.0ms (92% of total)
ival-div: 62.0ms (7.4% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain68.0ms (2%)

Memory
4.5MiB live, 96.7MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1250
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-00131
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.6% of total)
ival-exp: 4.0ms (32.6% of total)
ival-expm1: 3.0ms (24.4% 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)

preprocess344.0ms (10.3%)

Memory
-20.1MiB live, 206.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
13221
27821
324721
4122521
056
086
1166
2326
3766
42996
530466
084974
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 6 to 5 computations (16.7% 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
54.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

series3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
1.0ms
x
@inf
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
0.0ms
x
@0
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)

rewrite215.0ms (6.4%)

Memory
-2.5MiB live, 247.3MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045192
049192
1240192
22096192
08129147
Stop Event
iter limit
node limit
iter limit
Counts
21 → 104
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (expm1.f64 x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) x) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval10.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 698 to 363 computations (78.6% saved)

prune7.0ms (0.2%)

Memory
-34.0MiB live, 13.0MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New997106
Fresh000
Picked011
Done000
Total998107
Accuracy
100.0%
Counts
107 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
50.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 168 to 131 computations (22% saved)

series4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
15 → 30
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))
1.0ms
x
@inf
((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))
1.0ms
x
@0
((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))

rewrite112.0ms (3.3%)

Memory
15.2MiB live, 106.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083394
092366
1427363
03530355
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
45 → 196
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 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 x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (exp x) (exp.f64 x))

eval36.0ms (1.1%)

Memory
-19.4MiB live, 33.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 628 to 640 computations (82.4% saved)

prune11.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New1975202
Fresh022
Picked055
Done011
Total19713210
Accuracy
100.0%
Counts
210 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
63.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
50.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
16.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
17.0%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
3.5%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 307 to 233 computations (24.1% saved)

series8.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
25 → 67
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 1))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (* (+ (* 1/6 x) 1/2) x) -1) -1)
2.0ms
x
@inf
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (* (+ (* 1/6 x) 1/2) x) -1) -1)
1.0ms
x
@0
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (* (+ (* 1/6 x) 1/2) x) -1) -1)

rewrite196.0ms (5.9%)

Memory
-25.3MiB live, 160.0MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791312
01971221
18051204
066281130
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
92 → 484
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 1))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x))
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))))
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(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(literal -1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(literal 1 binary64))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) #s(literal 1 binary64))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (+ (* 1/6 x) 1/2) x) -1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))

eval86.0ms (2.6%)

Memory
35.6MiB live, 123.4MiB allocated; 22ms collecting garbage
Compiler

Compiled 16 199 to 2 263 computations (86% saved)

prune32.0ms (1%)

Memory
-38.1MiB live, 62.9MiB allocated; 18ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New6249633
Fresh112
Picked145
Done066
Total62620646
Accuracy
100.0%
Counts
646 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
28.0%
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) x)
69.0%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
50.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
16.5%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
16.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
17.0%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
16.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
3.5%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 633 to 430 computations (32.1% saved)

series12.0ms (0.4%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Counts
34 → 116
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
x
#s(literal 1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 1/2))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 1/6))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x 1/6 (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36) 1/576 -1/36 (+ (* 1/24 x) -1/6) -1/6)
3.0ms
x
@inf
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x 1/6 (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36) 1/576 -1/36 (+ (* 1/24 x) -1/6) -1/6)
3.0ms
x
@0
((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x 1/6 (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36) 1/576 -1/36 (+ (* 1/24 x) -1/6) -1/6)

rewrite229.0ms (6.9%)

Memory
-58.2MiB live, 214.7MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672789
03052336
111222295
086652207
Stop Event
iter limit
node limit
iter limit
Counts
150 → 672
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
x
#s(literal 1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 1/2))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 1/6))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (+ (* 1/576 (* x x)) -1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* x 1/6) (+ (* (* x x) 1/24) 1/2)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* 1/24 x) -1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) x)
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x))
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x) x)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(-.f64 x (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 x x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
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#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64))))
#s(approx (+ (* 1/24 x) -1/6) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))))

eval65.0ms (2%)

Memory
48.7MiB live, 135.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 13 860 to 2 337 computations (83.1% saved)

prune102.0ms (3.1%)

Memory
-41.7MiB live, 61.2MiB allocated; 26ms collecting garbage
Pruning

24 alts after pruning (12 fresh and 12 done)

PrunedKeptTotal
New4629471
Fresh235
Picked325
Done01010
Total46724491
Accuracy
100.0%
Counts
491 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
28.0%
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
69.8%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
50.1%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
69.0%
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
68.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
68.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
50.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
63.5%
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
16.5%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
16.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
17.0%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
16.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
3.5%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 1 188 to 542 computations (54.4% saved)

regimes20.0ms (0.6%)

Memory
-5.6MiB live, 41.7MiB allocated; 2ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
(/.f64 #s(approx (- (exp x) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
8.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes15.0ms (0.5%)

Memory
34.4MiB live, 34.4MiB allocated; 0ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
(/.f64 #s(approx (- (exp x) 1) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
Outputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
Calls

2 calls:

8.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
69.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
69.8%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.3%)

Memory
-23.6MiB live, 22.5MiB allocated; 2ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
Outputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
Calls

2 calls:

6.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
69.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
69.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
68.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
68.8%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
68.7%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
68.7%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes22.0ms (0.7%)

Memory
-43.4MiB live, 9.6MiB allocated; 5ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

2 calls:

18.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
Results
AccuracySegmentsBranch
63.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
63.8%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
Outputs
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
63.5%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
63.5%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
63.5%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
63.5%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
63.6%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
63.6%2x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
63.2%2x
63.2%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
50.7%1x
50.7%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Accuracy

Total -30.4b remaining (-95.7%)

Threshold costs -30.4b (-95.7%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
50.4%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
50.4%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192773469676195
+inf
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192773469676195
+inf
Compiler

Compiled 9 to 9 computations (0% saved)

simplify71.0ms (2.1%)

Memory
-15.9MiB live, 30.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072239
1105239
2202239
3511239
41321239
56617239
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

derivations363.0ms (10.9%)

Memory
-14.9MiB live, 319.4MiB allocated; 49ms collecting garbage
Stop Event
fuel
Compiler

Compiled 239 to 76 computations (68.2% saved)

preprocess72.0ms (2.1%)

Memory
38.2MiB live, 125.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 534 to 186 computations (65.2% saved)

end0.0ms (0%)

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

Profiling

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