Kahan's exp quotient

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.7MiB live, 2.7MiB 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)

sample597.0ms (15.7%)

Memory
18.0MiB live, 791.8MiB allocated; 157ms collecting garbage
Samples
309.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-expm1: 93.0ms (56.9% of total)
ival-div: 65.0ms (39.8% of total)
ival-assert: 3.0ms (1.8% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

explain560.0ms (14.7%)

Memory
-106.5MiB live, 198.5MiB allocated; 888ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(-.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))cancellation1261
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-01129
Precision?
0.9921259842519685
Recall?
1.0
Freqs
test
numberfreq
0130
1126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
434.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-expm1: 384.0ms (97.3% of total)
ival-div: 6.0ms (1.5% of total)
ival-exp: 4.0ms (1% 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)

preprocess308.0ms (8.1%)

Memory
5.4MiB live, 331.1MiB allocated; 52ms 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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

series3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB 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)

rewrite155.0ms (4.1%)

Memory
14.6MiB live, 247.4MiB allocated; 27ms 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))

eval13.0ms (0.3%)

Memory
-19.7MiB live, 25.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 698 to 363 computations (78.6% saved)

prune5.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107
Accuracy
100.0%
Counts
107 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x 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)
72.8%
(/.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)
70.3%
#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)))
66.3%
#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)))
51.3%
#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 182 to 138 computations (24.2% saved)

series9.0ms (0.2%)

Memory
-21.2MiB live, 25.5MiB allocated; 2ms collecting garbage
Counts
20 → 64
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 (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)
#s(literal 1/2 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)))
(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)
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(-.f64 (*.f64 (exp.f64 x) x) x)
(*.f64 (exp.f64 x) x)
(exp.f64 x)
(*.f64 x x)
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 (+ (* (+ (* 1/6 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 (+ (* (+ (* (+ (* 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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/2 x)))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (exp x) x) #s(hole binary64 x))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 1/2 x)))))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 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 (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* (+ (* 1/6 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 (+ (* (+ (* (+ (* 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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* x (- (exp x) 1))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (exp x))))
#s(approx (exp x) #s(hole binary64 (exp 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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (exp x)))))))
Calls

3 calls:

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

rewrite261.0ms (6.9%)

Memory
31.1MiB live, 227.0MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01721035
0188913
1799906
06933893
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
84 → 358
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 (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)
#s(literal 1/2 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)))
(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)
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(-.f64 (*.f64 (exp.f64 x) x) x)
(*.f64 (exp.f64 x) x)
(exp.f64 x)
(*.f64 x x)
#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 (+ (* (+ (* 1/6 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 (+ (* (+ (* (+ (* 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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/2 x)))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (exp x) x) #s(hole binary64 x))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 1/2 x)))))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 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 (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* (+ (* 1/6 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 (+ (* (+ (* (+ (* 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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* x (- (exp x) 1))))
#s(approx (* (exp x) x) #s(hole binary64 (* x (exp x))))
#s(approx (exp x) #s(hole binary64 (exp 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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x))))
#s(approx (- (* (exp x) x) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (exp x)))))))
Outputs
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.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 (*.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x))) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))) (fma.f64 (/.f64 x x) (/.f64 (exp.f64 x) x) (/.f64 x (*.f64 x x))))
(/.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 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (*.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (/.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x) x)
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (exp.f64 x) x x) (*.f64 x 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 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (/.f64 x (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) x)))
(+.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (exp.f64 x)) x)))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x))))
(/.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.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))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.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 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 x)
(-.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 (/.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 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
x
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #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 #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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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 #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 #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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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 #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 2 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)))
(/.f64 (-.f64 #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) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #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 #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)))
(fma.f64 (*.f64 #s(literal 1 binary64) (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 (*.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 (*.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) 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) (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 (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) (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 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (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) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(-.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 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 #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)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(+.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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 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 #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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 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)))
(/.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)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.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 (*.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x))) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))) (fma.f64 (/.f64 x x) (/.f64 (exp.f64 x) x) (/.f64 x (*.f64 x x))))
(/.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 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (*.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (/.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x) x)
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (exp.f64 x) x x) (*.f64 x 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 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 x x) (/.f64 (exp.f64 x) x)) (/.f64 x (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) x)))
(+.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (exp.f64 x) x 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 (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (exp.f64 x) x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (*.f64 x x) (fma.f64 (exp.f64 x) x x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (exp.f64 x) x x) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 x) x) x)
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x))
(fma.f64 x (cosh.f64 x) (*.f64 x (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) x) (*.f64 (sinh.f64 x) x))
(+.f64 (*.f64 x (cosh.f64 x)) (*.f64 x (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) 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)) 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 (+ (* (+ (* 1/6 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)))
#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 (/ (- (* (exp x) x) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) 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)) x #s(literal 1 binary64)))
#s(approx (- (* (exp x) x) x) (*.f64 x x))
#s(approx (- (* (exp x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x))
#s(approx (- (* (exp x) x) x) (*.f64 (*.f64 x 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) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64))))
#s(approx (* (exp x) x) x)
#s(approx (* (exp x) x) (fma.f64 x x x))
#s(approx (* (exp x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (exp x) x) (*.f64 (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)) 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) (*.f64 x x))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 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 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x))
#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 (/.f64 #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) x) 1) (*.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 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #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 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x))
#s(approx (* (exp x) x) (*.f64 (exp.f64 x) x))
#s(approx (exp x) (exp.f64 x))
#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 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x))

eval44.0ms (1.1%)

Memory
-23.9MiB live, 69.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 6 735 to 1 159 computations (82.8% saved)

prune22.0ms (0.6%)

Memory
2.4MiB live, 46.0MiB allocated; 6ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New32613339
Fresh123
Picked145
Done000
Total32819347
Accuracy
100.0%
Counts
347 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
34.6%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
49.2%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x)) (*.f64 x x))
72.8%
(/.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)
51.3%
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
70.3%
#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)))
70.3%
#s(approx (/ (- (exp x) 1) 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)))
70.3%
#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)))
69.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
70.3%
#s(approx (/ (- (exp x) 1) 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)))
66.3%
#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)))
68.8%
#s(approx (/ (- (exp x) 1) x) (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)))
65.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
66.3%
#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))))
70.3%
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
22.1%
#s(approx (/ (- (exp x) 1) x) #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))))
18.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 629 to 462 computations (26.6% saved)

series8.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
25 → 71
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) x) x) (* x 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))
(/.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) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(*.f64 x x)
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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (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 (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 1))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/24 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* (pow x 3) (+ 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 (/ (- (* -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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #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) x) x) (* x x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (- (exp x) 1) (exp 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) (* 1/24 x) (/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) (* (* x x) (+ (* 1/24 x) 1/6)) (* x x))
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) x) x) (* x x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (- (exp x) 1) (exp 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) (* 1/24 x) (/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) (* (* x x) (+ (* 1/24 x) 1/6)) (* x x))
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) x) x) (* x x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (- (exp x) 1) (exp 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) (* 1/24 x) (/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) (* (* x x) (+ (* 1/24 x) 1/6)) (* x x))

rewrite223.0ms (5.9%)

Memory
2.7MiB live, 191.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881484
02101346
19041302
079741235
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
96 → 550
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) x) x) (* x 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))
(/.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) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(*.f64 x x)
#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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (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 (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 1))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/24 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) #s(hole binary64 (* (pow x 3) (+ 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 (/ (- (* -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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (* 1/2 x) 1) (* (* x x) (+ (* 1/24 x) 1/6))) #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 #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 #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)) (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 (*.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 #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)) (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 (-.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 (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) (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 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #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) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x 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) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x 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 (/ (- (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 (+ (* 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)))
(*.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))
(neg.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (* 1/24 x) (*.f64 #s(literal 1/24 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 (* (* x x) (+ (* 1/24 x) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (* x x) (*.f64 x x))
#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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#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 (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) 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 (exp x) (exp.f64 x))
#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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#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 (* (* x x) (+ (* 1/24 x) 1/6)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (* x x) (+ (* 1/24 x) 1/6)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 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))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#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))))

eval90.0ms (2.4%)

Memory
9.2MiB live, 106.9MiB allocated; 16ms collecting garbage
Compiler

Compiled 14 081 to 2 095 computations (85.1% saved)

prune43.0ms (1.1%)

Memory
6.7MiB live, 52.2MiB allocated; 5ms collecting garbage
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New5167523
Fresh2810
Picked145
Done044
Total51923542
Accuracy
100.0%
Counts
542 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
34.6%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
49.2%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x)) (*.f64 x x))
72.8%
(/.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)
29.9%
(/.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)
71.3%
(/.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)
51.3%
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
3.9%
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
70.3%
#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)))
70.3%
#s(approx (/ (- (exp x) 1) 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)))
70.3%
#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)))
69.7%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
66.3%
#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)))
68.8%
#s(approx (/ (- (exp x) 1) x) (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)))
65.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
66.3%
#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))))
72.8%
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
70.3%
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
70.3%
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
68.8%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
18.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 818 to 554 computations (32.3% saved)

series29.0ms (0.8%)

Memory
-24.0MiB live, 22.0MiB allocated; 3ms collecting garbage
Counts
31 → 103
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#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))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- (* (exp x) x) x) (* x 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) (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)))
(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))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 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)))
(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))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (/ (- (exp x) 1) 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 (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)))
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 (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 1))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 x #s(hole binary64 x))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/24 x)))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#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) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 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 (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#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) #s(hole binary64 (* 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 (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#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 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* 1/576 (pow x 4))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 1) x)))
#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) 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 (+ (* (+ (* (/ (+ (* 1/576 (* 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 (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) 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)))))
#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 (+ (* (+ (* (/ (+ (* 1/576 (* 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)))))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
x
@0
((/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) (+ (* 1/2 x) 1) 1/2 x 1 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/576 (* x x)) -1/36) 1/576 (* x x) -1/36 (+ (* 1/24 x) -1/6) 1/24 -1/6 (/ (- (* (exp x) x) x) (* x x)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (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) (* 1/24 x) (/ (- (exp 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)))
4.0ms
x
@-inf
((/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) (+ (* 1/2 x) 1) 1/2 x 1 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/576 (* x x)) -1/36) 1/576 (* x x) -1/36 (+ (* 1/24 x) -1/6) 1/24 -1/6 (/ (- (* (exp x) x) x) (* x x)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (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) (* 1/24 x) (/ (- (exp 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)))
4.0ms
x
@inf
((/ (- (exp x) 1) x) (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) (+ (* 1/2 x) 1) 1/2 x 1 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/576 (* x x)) -1/36) 1/576 (* x x) -1/36 (+ (* 1/24 x) -1/6) 1/24 -1/6 (/ (- (* (exp x) x) x) (* x x)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (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) (* 1/24 x) (/ (- (exp 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)))

rewrite200.0ms (5.3%)

Memory
0.0MiB live, 288.1MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412448
02812492
19861970
081531823
Stop Event
iter limit
node limit
iter limit
Counts
134 → 818
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#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))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- (* (exp x) x) x) (* x 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) (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)))
(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))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 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)))
(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))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (/ (- (exp x) 1) 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 (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)))
#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 (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 1))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 x #s(hole binary64 x))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/24 x)))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#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) x) x) (* x x)) #s(hole binary64 1))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 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 (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#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) #s(hole binary64 (* 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 (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#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 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* 1/576 (pow x 4))))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) #s(hole binary64 (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#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 (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (/ (- (exp x) 1) x)))
#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) 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 (+ (* (+ (* (/ (+ (* 1/576 (* 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 (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (+ (* 1/2 x) 1) (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6))) #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)))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) 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)))))
#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 (+ (* (+ (* (/ (+ (* 1/576 (* 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)))))
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)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 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 #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)) (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 (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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)) (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 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)) (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 -1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 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))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x) (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 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x) (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 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (neg.f64 x)))) (*.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)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.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)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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)) (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 #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 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) 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 3 binary64)) #s(literal -1 binary64)) (+.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)) (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 (-.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)))
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#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (* (* x x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(literal 1/6 binary64))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) #s(literal 1/6 binary64))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 3 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 3 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 (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (/ (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (+ (* 1/24 x) -1/6)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
#s(approx (* (+ (* 1/576 (* x x)) -1/36) (* x x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/36 binary64) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/576 (* x x)) -1/36) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))
#s(approx (+ (* 1/576 (* x x)) -1/36) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/36 binary64) #s(literal 1/576 binary64)) x) x))
#s(approx (+ (* 1/24 x) -1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) -1/6) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 3 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 3 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 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 (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 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 (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 3 binary64))))
#s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.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 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 (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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 (pow.f64 x #s(literal -2 binary64)) (/.f64 #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))))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#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 (pow.f64 x #s(literal -2 binary64)) (/.f64 #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) (*.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 (pow.f64 x #s(literal -2 binary64)) (/.f64 #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) (*.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 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64))))

eval89.0ms (2.3%)

Memory
4.4MiB live, 191.0MiB allocated; 29ms collecting garbage
Compiler

Compiled 20 092 to 2 635 computations (86.9% saved)

prune37.0ms (1%)

Memory
-5.7MiB live, 87.1MiB allocated; 8ms collecting garbage
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New65210662
Fresh1910
Picked235
Done268
Total65728685
Accuracy
100.0%
Counts
685 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
100.0%
(/.f64 (expm1.f64 x) x)
34.6%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
49.2%
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x)) (*.f64 x x))
72.8%
(/.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)
29.9%
(/.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)
71.3%
(/.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)
51.3%
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
3.9%
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
70.3%
#s(approx (/ (- (exp x) 1) x) (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)))
70.3%
#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)))
70.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
70.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
69.7%
#s(approx (/ (- (exp x) 1) x) (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)))
50.8%
#s(approx (/ (- (exp x) 1) x) (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)))
70.3%
#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)))
66.3%
#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)))
70.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
68.8%
#s(approx (/ (- (exp x) 1) x) (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)))
65.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
66.3%
#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))))
59.6%
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
56.0%
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
71.3%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
68.8%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
22.6%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
18.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
50.4%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 1 517 to 637 computations (58% saved)

regimes23.0ms (0.6%)

Memory
2.9MiB live, 48.7MiB allocated; 6ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.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)
#s(approx (/ (- (exp x) 1) x) #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))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

11.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
10.0ms
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)

regimes19.0ms (0.5%)

Memory
-10.1MiB live, 44.1MiB allocated; 3ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.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)
#s(approx (/ (- (exp x) 1) x) #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))))
Outputs
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 #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:

9.0ms
x
7.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
72.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
77.4%3x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
75.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.3%)

Memory
-22.2MiB live, 24.7MiB allocated; 1ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
Outputs
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
74.8%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.4%)

Memory
39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (/.f64 #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)))
Outputs
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
Calls

2 calls:

8.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
72.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
72.8%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.4%)

Memory
-12.2MiB live, 34.4MiB allocated; 1ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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 (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)
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) 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)))
#s(approx (/ (- (exp x) 1) x) (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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 #s(approx (- (* (exp x) x) x) (*.f64 (*.f64 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)) x #s(literal 1 binary64)))) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.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 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
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:

7.0ms
x
7.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
72.8%1x
72.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.3%)

Memory
-16.6MiB live, 30.6MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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)
Outputs
#s(approx (/ (- (exp x) 1) x) (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)))
(/.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
73.3%2x
73.3%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.3%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (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)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
70.3%1x
70.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.4%)

Memory
-37.6MiB live, 23.3MiB allocated; 8ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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) (+.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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)))
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:

10.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
70.3%1x
70.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB 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) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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 (+ (* 1/24 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 (+ (* 1/24 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
69.7%1x
69.7%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
#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))))
#s(approx (/ (- (exp x) 1) x) (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)))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
70.4%2x
70.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory
-30.0MiB live, 16.7MiB allocated; 1ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (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)))
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)))
#s(approx (/ (- (exp x) 1) x) (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)))
Calls

2 calls:

4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
Results
AccuracySegmentsBranch
70.4%2x
70.4%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
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
70.4%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
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:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
66.3%1x
66.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory
-34.4MiB live, 12.5MiB allocated; 1ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
65.0%1x
65.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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 x x) #s(literal 1/6 binary64))))
Outputs
#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 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
65.6%2x
65.6%2(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
51.3%1x
51.3%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
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Accuracy

Total -30.2b remaining (-95.1%)

Threshold costs -30.2b (-95.1%)

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

bsearch28.0ms (0.7%)

Memory
9.3MiB live, 56.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.4155569540843455e+76
3.28646135752625e+87
14.0ms
0.09089956692361759
35185879105.41976
Samples
11.0ms320×0valid
Compiler

Compiled 1 509 to 797 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-expm1: 3.0ms (56.8% of total)
ival-div: 2.0ms (37.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Memory
-24.2MiB live, 26.6MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
5.550718481977004e+101
1.2037165873841249e+107
Samples
6.0ms144×0valid
Compiler

Compiled 756 to 448 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (48.9% of total)
ival-expm1: 1.0ms (48.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
1.86628100712236e+145
9.878009767111573e+161
Samples
2.0ms64×0valid
Compiler

Compiled 269 to 175 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-expm1: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0468587779572038
1.4676866733179295
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0468587779572038
1.4676866733179295
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0468587779572038
1.4676866733179295
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4676866733179295
+inf
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4676866733179295
+inf
Compiler

Compiled 9 to 9 computations (0% saved)

simplify51.0ms (1.4%)

Memory
-2.7MiB live, 91.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134689
1186689
2327689
3787689
42222689
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) 1) x) (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))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.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 #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)))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 x #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.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)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (- (exp x) 1) x) (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))) (/.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 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #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 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) 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 5404319552844595/4503599627370496 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 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5404319552844595/4503599627370496 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 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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) (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) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) 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) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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) (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 x x) #s(literal 1/6 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) #s(literal 1 binary64))
Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) 1) x) (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))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.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 #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)))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 x #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 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)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.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)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (- (exp x) 1) x) (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))) (/.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 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #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 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) 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 5404319552844595/4503599627370496 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 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 5404319552844595/4503599627370496 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 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 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) (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) #s(approx (+ (* (+ (* (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) 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) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) 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) (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 x x) #s(literal 1/6 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) #s(literal 1 binary64))

derivations730.0ms (19.2%)

Memory
-14.4MiB live, 563.0MiB allocated; 131ms collecting garbage
Stop Event
fuel
Compiler

Compiled 689 to 141 computations (79.5% saved)

preprocess97.0ms (2.6%)

Memory
30.2MiB live, 122.8MiB allocated; 16ms collecting garbage
Compiler

Compiled 1 434 to 316 computations (78% saved)

end0.0ms (0%)

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

Profiling

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