expq2 (section 3.11)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.0MiB live, 2.1MiB 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)

sample701.0ms (24.4%)

Memory
23.6MiB live, 685.2MiB allocated; 165ms collecting garbage
Samples
430.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-exp: 89.0ms (41.4% of total)
ival-div: 62.0ms (28.8% of total)
ival-expm1: 59.0ms (27.4% of total)
adjust: 2.0ms (0.9% of total)
ival-assert: 2.0ms (0.9% of total)
Bogosity

explain78.0ms (2.7%)

Memory
13.0MiB live, 104.4MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1790-0-(-.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))cancellation1790
Confusion
Predicted +Predicted -
+1790
-077
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17900
-0077
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
077
1179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (33.7% of total)
ival-div: 3.0ms (25.2% of total)
ival-expm1: 3.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess260.0ms (9.1%)

Memory
4.7MiB live, 230.9MiB allocated; 52ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB 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
1.0ms
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)

rewrite217.0ms (7.6%)

Memory
-54.4MiB live, 71.4MiB allocated; 131ms 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)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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))

eval7.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 785 to 184 computations (76.6% saved)

prune5.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865
Accuracy
100.0%
Counts
65 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
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)))
97.5%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
70.1%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
70.5%
#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))
70.6%
#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))
70.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 197 to 143 computations (27.4% saved)

series11.0ms (0.4%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
24 → 74
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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.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 (/ (+ (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 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 (pow x -1) #s(hole binary64 (/ 1 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#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))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1)
3.0ms
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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1)
2.0ms
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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1)

rewrite156.0ms (5.4%)

Memory
0.1MiB live, 183.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061427
02261333
19501299
080341286
Stop Event
iter limit
node limit
iter limit
Counts
98 → 449
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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.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 (/ (+ (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 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 (pow x -1) #s(hole binary64 (/ 1 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#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))))))))
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)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.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)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
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#s(literal -1/720 binary64)
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#s(literal -1 binary64)
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#s(approx x x)
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (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)))
#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)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow x -1) (pow.f64 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 (- (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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64))) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/12 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))))

eval90.0ms (3.1%)

Memory
-14.5MiB live, 75.3MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 774 to 1 829 computations (84.5% saved)

prune23.0ms (0.8%)

Memory
-14.0MiB live, 42.5MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New46110471
Fresh112
Picked145
Done011
Total46316479
Accuracy
100.0%
Counts
479 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.5%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
32.3%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
70.5%
#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))
70.6%
#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))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
42.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
69.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
70.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
70.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.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)))) x))
70.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
3.3%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
3.7%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
3.5%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 525 to 364 computations (30.7% saved)

series7.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
23 → 67
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(exp.f64 x)
x
#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)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/12 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 1))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 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 (- (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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12)
2.0ms
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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12)
2.0ms
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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12)

rewrite231.0ms (8.1%)

Memory
-5.7MiB live, 182.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661239
01851169
17781164
061041069
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
90 → 342
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(exp.f64 x)
x
#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)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/12 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 1))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 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 (- (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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 #s(approx (- (exp x) 1) x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (- (exp x) 1) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(approx (- (exp x) 1) x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 #s(approx (- (exp x) 1) x))))
(+.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) x)) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) 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)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#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)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 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))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
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(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/144 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/144 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64)))) (/.f64 #s(literal -1/1728 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
#s(literal -1/12 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 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #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 (/ (+ (* 1/2 x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(literal 1 binary64))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ 1/2 x) -1/12) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) -1/12) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 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))
#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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- (/ 1/2 x) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ 1/2 x) -1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))

eval61.0ms (2.1%)

Memory
35.7MiB live, 79.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 522 to 1 421 computations (85.1% saved)

prune33.0ms (1.2%)

Memory
-21.4MiB live, 25.5MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New3694373
Fresh336
Picked055
Done055
Total37217389
Accuracy
100.0%
Counts
389 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.5%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
69.6%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
70.1%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
32.3%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
70.5%
#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))
70.6%
#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))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
42.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
69.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
70.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
3.7%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
3.3%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
3.5%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 422 to 293 computations (30.6% saved)

series9.0ms (0.3%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Counts
25 → 67
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(literal 1 binary64))
#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) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 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 (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) x)))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* x (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2))
2.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2))
2.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2))

rewrite219.0ms (7.6%)

Memory
-6.4MiB live, 190.5MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01781269
01971209
18221123
067681041
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
92 → 544
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(literal 1 binary64))
#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) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x)
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 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 (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) x)))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* x (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/1728 binary64)) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 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)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 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 (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x)
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x))
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)))
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) 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 1/12 binary64))))

eval124.0ms (4.3%)

Memory
21.1MiB live, 64.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 12 350 to 1 839 computations (85.1% saved)

prune50.0ms (1.8%)

Memory
-11.8MiB live, 41.0MiB allocated; 16ms collecting garbage
Pruning

18 alts after pruning (7 fresh and 11 done)

PrunedKeptTotal
New4776483
Fresh112
Picked235
Done2810
Total48218500
Accuracy
100.0%
Counts
500 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.5%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
69.6%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
4.2%
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x))
89.6%
(/.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)))
87.8%
(/.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)))
80.5%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
70.1%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
70.5%
#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))
70.6%
#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))
69.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
70.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
52.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x)))
70.6%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
3.7%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
3.3%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
3.5%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
Compiler

Compiled 829 to 363 computations (56.2% saved)

regimes25.0ms (0.9%)

Memory
-1.8MiB live, 42.7MiB allocated; 8ms 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x 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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.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)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 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)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
x
6.0ms
(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)

regimes22.0ms (0.8%)

Memory
-2.1MiB live, 43.2MiB allocated; 3ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x 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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.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)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 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:

9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms
x
5.0ms
(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)

regimes20.0ms (0.7%)

Memory
-16.7MiB live, 30.1MiB allocated; 2ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x 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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.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)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x))
Outputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) 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
97.5%1(exp.f64 x)
97.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
97.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.6%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x 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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.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)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
Outputs
(/.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)))
Calls

3 calls:

6.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
89.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
89.6%1(exp.f64 x)
89.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.4%)

Memory
24.0MiB live, 24.0MiB 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x 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))
Outputs
(/.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)))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
87.8%1(exp.f64 x)
87.8%1x
87.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.5%)

Memory
-44.6MiB live, 13.0MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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) (*.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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
Outputs
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (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
80.5%1(exp.f64 x)
80.5%1x
80.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.3%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
81.1%2(exp.f64 x)
81.1%2x
80.6%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
80.4%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
80.4%2x
80.4%2(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.3%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #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
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
70.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
70.1%1x
70.1%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
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
3.7%1(exp.f64 x)
3.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB 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:

1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.5%1(exp.f64 x)
3.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00717788656070677
0.9999950705385247
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999999627781467
0.9999999999049561
Compiler

Compiled 9 to 9 computations (0% saved)

simplify74.0ms (2.6%)

Memory
-29.9MiB live, 17.5MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073242
1107242
2222242
3663238
42025238
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) 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) #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(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 9007197453301141/9007199254740992 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) 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) 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) #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(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 9007197453301141/9007199254740992 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

derivations311.0ms (10.9%)

Memory
5.7MiB live, 148.3MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 242 to 76 computations (68.6% saved)

preprocess55.0ms (1.9%)

Memory
3.1MiB live, 49.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 510 to 174 computations (65.9% saved)

end0.0ms (0%)

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

Profiling

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