expq2 (section 3.11)

Time bar (total: 6.5s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (17.7%)

Memory
23.6MiB live, 869.1MiB allocated; 496ms collecting garbage
Samples
770.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 473.0ms
ival-exp: 190.0ms (40.1% of total)
ival-div: 168.0ms (35.5% of total)
ival-expm1: 109.0ms (23% of total)
ival-assert: 4.0ms (0.8% of total)
adjust: 3.0ms (0.6% of total)
Bogosity

explain121.0ms (1.8%)

Memory
-16.0MiB live, 124.7MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1670-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
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))cancellation1670
Confusion
Predicted +Predicted -
+1670
-089
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16700
-0089
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
089
1167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 13.0ms (48.4% of total)
ival-exp: 7.0ms (26% of total)
ival-expm1: 5.0ms (18.6% of total)
ival-true: 1.0ms (3.7% of total)
exact: 1.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess702.0ms (10.7%)

Memory
45.4MiB live, 411.6MiB allocated; 147ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
12426
27526
324326
4128826
057
087
1137
2297
3677
42857
530497
083035
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 x #s(hole binary64 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite376.0ms (5.8%)

Memory
-37.9MiB live, 148.8MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063209
068209
1373209
03314164
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
21 → 48
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 x #s(hole binary64 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (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 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.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)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
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 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (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 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 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)
#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) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval10.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 785 to 184 computations (76.6% saved)

prune11.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965
Accuracy
100.0%
Counts
65 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
98.6%
(/.f64 (exp.f64 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)))
98.3%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
97.6%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
99.6%
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
66.2%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
66.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 242 to 176 computations (27.3% saved)

series144.0ms (2.2%)

Memory
-27.1MiB live, 83.6MiB allocated; 40ms collecting garbage
Counts
25 → 73
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
(/.f64 (exp.f64 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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(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)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 x #s(hole binary64 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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 x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 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 (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Calls

3 calls:

TimeVariablePointExpression
130.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)
7.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)
5.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)

rewrite467.0ms (7.1%)

Memory
-12.8MiB live, 216.7MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071437
02321346
19701317
081871303
Stop Event
iter limit
node limit
iter limit
Counts
98 → 441
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
(/.f64 (exp.f64 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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(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(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 x #s(hole binary64 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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 x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 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 (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (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 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 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 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
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 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
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(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/6 binary64)
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#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
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#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 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))
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#s(approx (/ (+ (* 1/2 x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 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)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64)))
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#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
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#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
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#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
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#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 (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 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 (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) x) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -4 binary64)))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))

eval117.0ms (1.8%)

Memory
15.3MiB live, 116.2MiB allocated; 49ms collecting garbage
Compiler

Compiled 12 278 to 1 961 computations (84% saved)

prune37.0ms (0.6%)

Memory
13.4MiB live, 59.8MiB allocated; 10ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New48610496
Fresh404
Picked145
Done000
Total49114505
Accuracy
100.0%
Counts
505 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.6%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
66.1%
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
71.3%
(/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
86.3%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
65.6%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
85.8%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
66.2%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
66.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
34.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
65.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 462 to 302 computations (34.6% saved)

series13.0ms (0.2%)

Memory
-35.6MiB live, 11.4MiB allocated; 5ms collecting garbage
Counts
22 → 51
Calls
Call 1
Inputs
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(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(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) #s(literal 1 binary64))
(/.f64 #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) 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Calls

3 calls:

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

rewrite446.0ms (6.8%)

Memory
35.0MiB live, 174.6MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147846
0160800
1722784
06053737
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
73 → 279
Calls
Call 1
Inputs
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(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(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) #s(literal 1 binary64))
(/.f64 #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) 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 #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)))))
(/.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 #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))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #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))))
(neg.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (neg.f64 #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) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal -1 binary64)
#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))
(*.f64 (*.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))) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (*.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))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(*.f64 x (fma.f64 (fma.f64 #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 #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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.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)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.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)) x) (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 (-.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)) x) (-.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 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (-.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 x (-.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 x (-.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)))
(/.f64 (*.f64 x (-.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 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (*.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)) (*.f64 x x)) x)
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))
(+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.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 #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 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 (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 (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 (-.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 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 (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)))
(/.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)))
(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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 #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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 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 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 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 -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/6 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 (/ (+ (* 1/2 x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))

eval115.0ms (1.8%)

Memory
23.0MiB live, 111.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 16 592 to 1 478 computations (91.1% saved)

prune154.0ms (2.4%)

Memory
-61.0MiB live, 54.7MiB allocated; 204ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New5739582
Fresh235
Picked235
Done044
Total57719596
Accuracy
100.0%
Counts
596 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.6%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
71.3%
(/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
81.1%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
65.6%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
3.9%
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
66.2%
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
39.4%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
89.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
85.9%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
80.6%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
25.7%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
23.8%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
66.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
34.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
65.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 691 to 454 computations (34.3% saved)

series13.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
31 → 71
Calls
Call 1
Inputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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(literal 1 binary64)
#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)
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
#s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 x x)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 (- (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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp 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 (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (* x x))
4.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (* x x))
2.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (* x x))

rewrite349.0ms (5.3%)

Memory
9.7MiB live, 149.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111479
02311394
110251372
087911295
Stop Event
iter limit
node limit
iter limit
Counts
102 → 430
Calls
Call 1
Inputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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(literal 1 binary64)
#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)
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
#s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 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 (- (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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp 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 (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))) (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)))))
(/.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) (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))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (/.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #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 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (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)))))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 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)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.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)) (*.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 (*.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 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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) x)
(+.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #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 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 (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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))))
(/.f64 (-.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 (*.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 (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 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 (*.f64 #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))) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.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 -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x 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 (*.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))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #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)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 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)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.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) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(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)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.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 1 binary64))
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(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
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(*.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))
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(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))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 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 (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/6 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 (+ (* (+ (* 1/6 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 (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 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 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 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 (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 #s(literal 1/24 binary64) x) x))
#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 (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #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) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 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 (neg.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))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)))))

eval109.0ms (1.7%)

Memory
12.6MiB live, 101.4MiB allocated; 26ms collecting garbage
Compiler

Compiled 16 046 to 2 146 computations (86.6% saved)

prune62.0ms (0.9%)

Memory
-39.6MiB live, 63.1MiB allocated; 16ms collecting garbage
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New4988506
Fresh077
Picked235
Done077
Total50025525
Accuracy
100.0%
Counts
525 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.6%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
71.3%
(/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
81.1%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
65.6%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
3.9%
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
66.2%
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
37.0%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
39.4%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
89.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
89.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
89.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
89.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
85.9%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
29.4%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
25.7%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
25.7%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
23.8%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
18.6%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
66.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
34.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
66.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
65.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 1 429 to 587 computations (58.9% saved)

regimes39.0ms (0.6%)

Memory
43.4MiB live, 43.4MiB allocated; 0ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (exp.f64 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)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

14.0ms
x
11.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
11.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1(exp.f64 x)
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes76.0ms (1.2%)

Memory
-19.8MiB live, 26.6MiB allocated; 5ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (exp.f64 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)))
Outputs
(/.f64 (exp.f64 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)))
Calls

3 calls:

53.0ms
x
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
10.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.6%1(exp.f64 x)
98.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
98.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes37.0ms (0.6%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
Calls

3 calls:

12.0ms
x
11.0ms
(exp.f64 x)
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.3%1(exp.f64 x)
98.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
98.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes42.0ms (0.6%)

Memory
-25.2MiB live, 21.1MiB allocated; 5ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
Outputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
Calls

3 calls:

20.0ms
x
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
10.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
97.6%1(exp.f64 x)
97.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
97.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes36.0ms (0.6%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

13.0ms
x
11.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
89.5%1(exp.f64 x)
89.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
94.4%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
92.9%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes74.0ms (1.1%)

Memory
-26.5MiB live, 19.7MiB allocated; 5ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (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)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 #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) 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) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

52.0ms
x
9.0ms
(exp.f64 x)
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
89.5%1(exp.f64 x)
89.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
89.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.4%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Calls

3 calls:

9.0ms
x
6.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.6%2x
90.6%2(exp.f64 x)
89.2%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.4%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
Outputs
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
Calls

3 calls:

8.0ms
x
7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
86.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
86.3%1(exp.f64 x)
86.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes60.0ms (0.9%)

Memory
-35.5MiB live, 13.4MiB allocated; 8ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

46.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms
x
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
85.9%1(exp.f64 x)
85.9%1x
85.9%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
87.0%2(exp.f64 x)
85.6%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
87.0%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
81.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
81.1%1(exp.f64 x)
81.1%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
80.6%1(exp.f64 x)
80.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
80.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.3%)

Memory
-38.8MiB live, 7.9MiB allocated; 5ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
81.4%2x
80.0%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
81.4%2(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
66.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
66.3%1(exp.f64 x)
66.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
Calls

3 calls:

3.0ms
x
3.0ms
(exp.f64 x)
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
66.2%1(exp.f64 x)
66.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
66.2%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1x
3.2%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch40.0ms (0.6%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
-269.2713553793751
-2.456252137005713e-5
15.0ms
-1.2028528645326917e+78
-1.4161572855048207e+76
Samples
19.0ms256×0valid
Compiler

Compiled 1 316 to 638 computations (51.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (37.3% of total)
ival-div: 3.0ms (28% of total)
ival-expm1: 3.0ms (28% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
-269.2713553793751
-2.456252137005713e-5
15.0ms
-4.828375935372359e+103
-2.9906870316196736e+102
Samples
7.0ms112×0valid
Compiler

Compiled 1 123 to 571 computations (49.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25% of total)
ival-exp: 1.0ms (25% of total)
ival-expm1: 1.0ms (25% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.1400823548894505e-117
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch44.0ms (0.7%)

Memory
-37.8MiB live, 8.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-269.2713553793751
-2.456252137005713e-5
Samples
36.0ms80×0valid
Compiler

Compiled 406 to 305 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 31.0ms (92.2% of total)
ival-div: 1.0ms (3% of total)
ival-expm1: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-269.2713553793751
-2.456252137005713e-5
Samples
4.0ms48×0valid
Compiler

Compiled 469 to 314 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.6% of total)
ival-exp: 1.0ms (43.6% of total)
ival-expm1: 1.0ms (43.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify111.0ms (1.7%)

Memory
12.6MiB live, 58.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0128593
1174593
2305593
3747591
42706591
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 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)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(if (<=.f64 x #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x))) (if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal -10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))) (if (<=.f64 x #s(literal -1643813863990231/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 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)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(if (<=.f64 x #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x))) (if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal -10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))) (if (<=.f64 x #s(literal -1643813863990231/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

derivations1.3s (19.3%)

Memory
17.0MiB live, 462.4MiB allocated; 246ms collecting garbage
Stop Event
fuel
Compiler

Compiled 593 to 132 computations (77.7% saved)

preprocess128.0ms (2%)

Memory
6.9MiB live, 97.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 1 212 to 286 computations (76.4% saved)

end0.0ms (0%)

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

Profiling

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