Quotient of sum of exps

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze6.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.0s (28.9%)

Memory
-20.5MiB live, 1 445.2MiB allocated; 219ms collecting garbage
Samples
420.0ms8 256×0valid
189.0ms2 934×0exit
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-exp: 198.0ms (66.5% of total)
ival-div!: 59.0ms (19.8% of total)
ival-add!: 38.0ms (12.8% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain77.0ms (2.2%)

Memory
21.8MiB live, 214.0MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
(exp.f64 a)overflow2
(+.f64 (exp.f64 a) (exp.f64 b))overflow61
(exp.f64 a)overflow2
(exp.f64 b)overflow60
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
(exp.f64 a)underflow70
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow70
(exp.f64 b)underflow58
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 8.0ms (67.7% of total)
ival-add!: 2.0ms (16.9% of total)
ival-div!: 2.0ms (16.9% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (0.8%)

Memory
-22.6MiB live, 25.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

series7.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite269.0ms (7.7%)

Memory
8.8MiB live, 265.8MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154730
0158693
11024684
08044638
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 54
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval7.0ms (0.2%)

Memory
-30.2MiB live, 16.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 257 to 271 computations (78.4% saved)

prune2.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359
Accuracy
99.7%
Counts
59 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 52 to 39 computations (25% saved)

series41.0ms (1.2%)

Memory
-16.0MiB live, 84.3MiB allocated; 11ms collecting garbage
Counts
28 → 137
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
(+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
(exp.f64 (+.f64 a b))
(+.f64 a b)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))) (* 4 (/ 1 (+ 1 (exp (* 3 b)))))) (+ (* 1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 4 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* 1/6 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- 2 (exp b)) (+ 1 (exp (* 3 b))))) (* 10/3 (/ 1 (+ 1 (exp (* 3 b))))))) (+ (* 1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ (- (+ (* 1/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))) (* 4 (/ 1 (+ 1 (exp (* 3 b)))))) (+ (* 1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (exp (* 3 b))) (- (+ 1 (exp (* 2 b))) (exp b)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 b))) (exp b))) (/ (exp (* 3 b)) (- (+ 1 (exp (* 2 b))) (exp b)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (+ (/ (* (+ 1 (exp (* 3 b))) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (- (+ 1 (exp (* 2 b))) (exp b))))))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 b))) (exp b))) (/ (exp (* 3 b)) (- (+ 1 (exp (* 2 b))) (exp b)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (* a (- (+ (* 9/2 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (+ (/ (* (+ 1 (exp (* 3 b))) (- 4/3 (* 1/6 (exp b)))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)) (+ (/ (* (- 2 (exp b)) (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (+ (/ (* (+ 1 (exp (* 3 b))) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (- (+ 1 (exp (* 2 b))) (exp b)))))) (- (+ 1 (exp (* 2 b))) (exp b))) (/ (* (- 2 (* 1/2 (exp b))) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (- (+ 1 (exp (* 2 b))) (exp b)))))))) (+ (/ (* (+ 1 (exp (* 3 b))) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 b))) (exp b)))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (- (+ 1 (exp (* 2 b))) (exp b))))))) (/ (* (+ 1 (exp (* 3 b))) (- 2 (exp b))) (pow (- (+ 1 (exp (* 2 b))) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 b))) (exp b))) (/ (exp (* 3 b)) (- (+ 1 (exp (* 2 b))) (exp b)))))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (exp (* 3 b)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 b)) (* 3 a)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* 9/2 a)))))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 b)) (* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))))))
#s(approx (exp (* a 3)) #s(hole binary64 1))
#s(approx (exp (* a 3)) #s(hole binary64 (+ 1 (* 3 a))))
#s(approx (exp (* a 3)) #s(hole binary64 (+ 1 (* a (+ 3 (* 9/2 a))))))
#s(approx (exp (* a 3)) #s(hole binary64 (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))))
#s(approx (* a 3) #s(hole binary64 (* 3 a)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (exp (* 2 b))) (exp b))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 b)) (* a (- 2 (exp b))))) (exp b))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b))))) (exp b))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b))))) (exp b))))
#s(approx (exp (+ a a)) #s(hole binary64 1))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (exp (* 2 b)) (exp b))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp b)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (exp b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (exp (* 2 a)) (exp (* 2 b))) (exp (+ a b)))) (+ (exp (* 3 a)) (exp (* 3 b))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ (exp (* 3 a)) (exp (* 3 b))) (- (+ (exp (* 2 a)) (exp (* 2 b))) (exp (+ a b))))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ (exp (* 3 a)) (exp (* 3 b)))))
#s(approx (exp (* a 3)) #s(hole binary64 (exp (* 3 a))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ (exp (* 2 a)) (exp (* 2 b))) (exp (+ a b)))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (* 2 a))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (exp (* 2 b)) (exp (+ a b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (exp (neg (* -2 a))) (exp (* 2 b))) (exp (- b (* -1 a))))) (+ (exp (* 3 a)) (exp (* 3 b))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ (exp (* 3 a)) (exp (* 3 b))) (- (+ (exp (neg (* -2 a))) (exp (* 2 b))) (exp (- b (* -1 a)))))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ (exp (neg (* -2 a))) (exp (* 2 b))) (exp (- b (* -1 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (neg (* -2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (exp (* 2 b)) (exp (- b (* -1 a))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (+ 1 (exp (* 3 a))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2))))) (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (+ 1 (exp (* 3 a)))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2))))) (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (+ 1 (exp (* 3 a)))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (pow (+ 1 (exp (* 3 a))) 2))))) (/ (* (exp a) (- (+ 1 (exp (* 2 a))) (exp a))) (+ 1 (exp (* 3 a)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (exp (* 3 a))) (- (+ 1 (exp (* 2 a))) (exp a)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 a))) (exp a))) (/ (exp (* 3 a)) (- (+ 1 (exp (* 2 a))) (exp a)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (+ (/ (* (+ 1 (exp (* 3 a))) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (- (+ 1 (exp (* 2 a))) (exp a))))))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 a))) (exp a))) (/ (exp (* 3 a)) (- (+ 1 (exp (* 2 a))) (exp a)))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (* b (- (+ (* 9/2 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (+ (/ (* (+ 1 (exp (* 3 a))) (- 4/3 (* 1/6 (exp a)))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)) (+ (/ (* (- 2 (exp a)) (- (* 9/2 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (+ (/ (* (+ 1 (exp (* 3 a))) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (- (+ 1 (exp (* 2 a))) (exp a)))))) (- (+ 1 (exp (* 2 a))) (exp a))) (/ (* (- 2 (* 1/2 (exp a))) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (- (+ 1 (exp (* 2 a))) (exp a)))))))) (+ (/ (* (+ 1 (exp (* 3 a))) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (exp (* 2 a))) (exp a)))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (- (+ 1 (exp (* 2 a))) (exp a))))))) (/ (* (+ 1 (exp (* 3 a))) (- 2 (exp a))) (pow (- (+ 1 (exp (* 2 a))) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (exp (* 2 a))) (exp a))) (/ (exp (* 3 a)) (- (+ 1 (exp (* 2 a))) (exp a)))))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (exp (* 3 a)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 a)) (* 3 b)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* 9/2 b)))))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) #s(hole binary64 (+ 1 (+ (exp (* 3 a)) (* b (+ 3 (* b (+ 9/2 (* 9/2 b)))))))))
#s(approx (exp (* b 3)) #s(hole binary64 1))
#s(approx (exp (* b 3)) #s(hole binary64 (+ 1 (* 3 b))))
#s(approx (exp (* b 3)) #s(hole binary64 (+ 1 (* b (+ 3 (* 9/2 b))))))
#s(approx (exp (* b 3)) #s(hole binary64 (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))))
#s(approx (* b 3) #s(hole binary64 (* 3 b)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (exp (* 2 a))) (exp a))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 a)) (* b (- 2 (exp a))))) (exp a))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 a)) (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a))))) (exp a))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (exp (* 2 a)) (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a))))) (exp a))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- 2 (exp a)))) (exp a))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (exp (+ b b)) #s(hole binary64 1))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (+ b b) #s(hole binary64 (* 2 b)))
#s(approx (exp (+ a b)) #s(hole binary64 (exp a)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp (* b 3)) #s(hole binary64 (exp (* 3 b))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (* 2 b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b))))) (+ (exp (* 3 a)) (exp (* 3 b))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ (exp (* 3 a)) (exp (* 3 b))) (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b)))))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b))))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (neg (* -2 b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))) (exp (* a 3)) (* a 3) 3 (exp (* b 3)) (* b 3) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (exp (+ a a)) (+ a a) (- (exp (+ b b)) (exp (+ a b))) (exp (+ b b)) (+ b b) (exp (+ a b)) (+ a b))
7.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))) (exp (* a 3)) (* a 3) 3 (exp (* b 3)) (* b 3) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (exp (+ a a)) (+ a a) (- (exp (+ b b)) (exp (+ a b))) (exp (+ b b)) (+ b b) (exp (+ a b)) (+ a b))
5.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))) (exp (* a 3)) (* a 3) 3 (exp (* b 3)) (* b 3) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (exp (+ a a)) (+ a a) (- (exp (+ b b)) (exp (+ a b))) (exp (+ b b)) (+ b b) (exp (+ a b)) (+ a b))
5.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))) (exp (* a 3)) (* a 3) 3 (exp (* b 3)) (* b 3) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (exp (+ a a)) (+ a a) (- (exp (+ b b)) (exp (+ a b))) (exp (+ b b)) (+ b b) (exp (+ a b)) (+ a b))
4.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))) (exp (* a 3)) (* a 3) 3 (exp (* b 3)) (* b 3) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (exp (+ a a)) (+ a a) (- (exp (+ b b)) (exp (+ a b))) (exp (+ b b)) (+ b b) (exp (+ a b)) (+ a b))

rewrite195.0ms (5.6%)

Memory
13.8MiB live, 294.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07085765
07445035
151175035
087154841
Stop Event
iter-limit
node-limit
iter-limit
Counts
165 → 253
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
(+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
(exp.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))) (+ (* 2 (/ (exp b) (+ 1 (exp (* 3 b))))) (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))))
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#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp (* b 3)) #s(hole binary64 (exp (* 3 b))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (* 2 b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b))))) (+ (exp (* 3 a)) (exp (* 3 b))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) #s(hole binary64 (/ (+ (exp (* 3 a)) (exp (* 3 b))) (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b)))))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) #s(hole binary64 (- (+ (exp (neg (* -2 b))) (exp (* 2 a))) (exp (- a (* -1 b))))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) #s(hole binary64 (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (neg (* -2 b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) (exp.f64 (*.f64 #s(literal 3 binary64) b))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) b) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 b) (exp.f64 (*.f64 #s(literal 3 binary64) a)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) (exp.f64 (*.f64 #s(literal 3 binary64) b)))
(+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))
(+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) (exp.f64 (*.f64 #s(literal 3 binary64) b)))
(*.f64 (exp.f64 (+.f64 a a)) (exp.f64 a))
(pow.f64 (exp.f64 #s(literal 3 binary64)) a)
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) a)) (sinh.f64 (*.f64 #s(literal 3 binary64) a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) a))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(pow.f64 (exp.f64 #s(literal 3 binary64)) b)
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) b)) (sinh.f64 (*.f64 #s(literal 3 binary64) b)))
(exp.f64 (fma.f64 #s(literal 2 binary64) b b))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) b))
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) b))
(*.f64 #s(literal 3 binary64) b)
(*.f64 b #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (+.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) #s(literal 3 binary64)) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) #s(literal 2 binary64)) (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))))))
(fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))))
(-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 b a)))
(+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a)))
(+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))))
(*.f64 (exp.f64 a) (exp.f64 a))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 a))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) a)
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) a)))
(-.f64 (cosh.f64 (+.f64 a a)) (sinh.f64 (*.f64 #s(literal -2 binary64) a)))
(+.f64 (cosh.f64 (+.f64 a a)) (sinh.f64 (+.f64 a a)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(exp.f64 (+.f64 a a))
(*.f64 #s(literal -2 binary64) (neg.f64 a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(neg.f64 (*.f64 #s(literal -2 binary64) a))
(+.f64 a a)
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b a))))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(*.f64 (exp.f64 b) (exp.f64 b))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 b))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) b)
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) b)))
(-.f64 (cosh.f64 (+.f64 b b)) (sinh.f64 (*.f64 #s(literal -2 binary64) b)))
(+.f64 (cosh.f64 (+.f64 b b)) (sinh.f64 (+.f64 b b)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) b)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b))
(exp.f64 (+.f64 b b))
(*.f64 #s(literal -2 binary64) (neg.f64 b))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 b b))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 b b) b)) (fma.f64 b b (-.f64 (*.f64 b b) (*.f64 b b))))
(neg.f64 (*.f64 #s(literal -2 binary64) b))
(+.f64 b b)
(*.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (+.f64 b a)))
(exp.f64 (+.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(+.f64 b a)
(+.f64 a b)
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))))) a (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 10/3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))))))) a (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))))))) a (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 b)) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))))) a (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 #s(literal 3 binary64) a (exp.f64 (*.f64 #s(literal 3 binary64) b))) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a (exp.f64 (*.f64 #s(literal 3 binary64) b))) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a (exp.f64 (*.f64 #s(literal 3 binary64) b))) #s(literal 1 binary64)))
#s(approx (exp (* a 3)) #s(literal 1 binary64))
#s(approx (exp (* a 3)) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
#s(approx (exp (* a 3)) (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (* a 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (* a 3) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) a (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (exp.f64 (+.f64 b b))) (exp.f64 b))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (exp (+ a a)) #s(literal 1 binary64))
#s(approx (exp (+ a a)) (fma.f64 #s(literal 2 binary64) a #s(literal 1 binary64)))
#s(approx (exp (+ a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (+ a a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ a a) (+.f64 a a))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (neg.f64 a) (exp.f64 b) (exp.f64 (+.f64 b b))) (exp.f64 b)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 b) a)) (exp.f64 b)) a (exp.f64 (+.f64 b b))) (exp.f64 b)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (exp.f64 b) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) a) (exp.f64 b)) a (exp.f64 (+.f64 b b))) (exp.f64 b)))
#s(approx (exp (+ a b)) (exp.f64 b))
#s(approx (exp (+ a b)) (*.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/2 binary64) (exp.f64 b)) a (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a (exp.f64 b)) a (exp.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))))
#s(approx (exp (* a 3)) (exp.f64 (*.f64 #s(literal 3 binary64) a)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (+.f64 a a))))
#s(approx (exp (+ a a)) (exp.f64 (+.f64 a a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))))
#s(approx (exp (+ a b)) (exp.f64 (+.f64 b a)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 b (neg.f64 a)))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 b (neg.f64 a))))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (exp (+ a a)) (exp.f64 (+.f64 a a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (+.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))))))) b (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64))))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 a)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))))) b (/.f64 #s(literal 9/2 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 #s(literal 3 binary64) b (exp.f64 (*.f64 #s(literal 3 binary64) a))) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b (exp.f64 (*.f64 #s(literal 3 binary64) a))) #s(literal 1 binary64)))
#s(approx (+ (exp (* a 3)) (exp (* b 3))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b (exp.f64 (*.f64 #s(literal 3 binary64) a))) #s(literal 1 binary64)))
#s(approx (exp (* b 3)) #s(literal 1 binary64))
#s(approx (exp (* b 3)) (fma.f64 #s(literal 3 binary64) b #s(literal 1 binary64)))
#s(approx (exp (* b 3)) (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (exp (* b 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (* b 3) (*.f64 #s(literal 3 binary64) b))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b (exp.f64 (+.f64 a a))) (exp.f64 a))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (exp (+ b b)) #s(literal 1 binary64))
#s(approx (exp (+ b b)) (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)))
#s(approx (exp (+ b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (exp (+ b b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ b b) (+.f64 b b))
#s(approx (exp (+ a b)) (exp.f64 a))
#s(approx (exp (+ a b)) (*.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 a)) b (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b (exp.f64 a)) b (exp.f64 a)))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (exp (* b 3)) (exp.f64 (*.f64 #s(literal 3 binary64) b)))
#s(approx (exp (+ b b)) (exp.f64 (+.f64 b b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (exp a) (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 a (neg.f64 b)))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))))))
#s(approx (/ (+ (exp (* a 3)) (exp (* b 3))) (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b))))) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) (exp.f64 (*.f64 #s(literal 3 binary64) a))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 a (neg.f64 b))))))
#s(approx (+ (exp (+ a a)) (- (exp (+ b b)) (exp (+ a b)))) (-.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (exp.f64 (-.f64 a (neg.f64 b)))))
#s(approx (- (exp (+ b b)) (exp (+ a b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (-.f64 a (neg.f64 b)))))
#s(approx (exp (+ b b)) (exp.f64 (+.f64 b b)))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval30.0ms (0.9%)

Memory
22.9MiB live, 69.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 561 to 1 388 computations (86.9% saved)

prune13.0ms (0.4%)

Memory
-29.7MiB live, 22.2MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New24211253
Fresh000
Picked123
Done000
Total24313256
Accuracy
99.7%
Counts
256 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
65.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
53.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 479 to 350 computations (26.9% saved)

series14.0ms (0.4%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Counts
35 → 100
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4)
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4)
2.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4)
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4)

rewrite240.0ms (6.9%)

Memory
10.1MiB live, 294.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03572289
03842169
119952158
092362107
Stop Event
iter-limit
node-limit
iter-limit
Counts
135 → 315
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
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(+.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) #s(literal 1/2304 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/110592 binary64)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
(fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/110592 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))))
(+.f64 (/.f64 #s(literal 1/110592 binary64) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
#s(literal -1/480 binary64)
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx b b)
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64))
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
#s(approx (- (exp b) -1) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 b) 1) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/480 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/480 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (*.f64 b b)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/480 binary64)) (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64)))))

eval56.0ms (1.6%)

Memory
-14.4MiB live, 85.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 12 944 to 1 831 computations (85.9% saved)

prune19.0ms (0.6%)

Memory
-2.5MiB live, 44.1MiB allocated; 3ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New29214306
Fresh516
Picked055
Done022
Total29722319
Accuracy
99.7%
Counts
319 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
42.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
55.5%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
55.2%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
53.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
49.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
35.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
41.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
17.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
17.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
3.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
18.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 066 to 703 computations (34.1% saved)

series16.0ms (0.5%)

Memory
-9.8MiB live, 34.5MiB allocated; 4ms collecting garbage
Counts
40 → 115
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 b b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (* (* b b) 1/2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (* (* b b) 1/2) (* b b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+ (* (+ (* b 1/6) 1/2) b) 1) (+ (* b 1/6) 1/2) 1/6 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2))
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (* (* b b) 1/2) (* b b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+ (* (+ (* b 1/6) 1/2) b) 1) (+ (* b 1/6) 1/2) 1/6 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2))
2.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (* (* b b) 1/2) (* b b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+ (* (+ (* b 1/6) 1/2) b) 1) (+ (* b 1/6) 1/2) 1/6 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (* (* b b) 1/2) (* b b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+ (* (+ (* b 1/6) 1/2) b) 1) (+ (* b 1/6) 1/2) 1/6 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/2 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (* (* b b) 1/2) (* b b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+ (* (+ (* b 1/6) 1/2) b) 1) (+ (* b 1/6) 1/2) 1/6 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2))

rewrite215.0ms (6.2%)

Memory
12.3MiB live, 346.7MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04152791
04452643
123512630
0105682524
Stop Event
iter-limit
node-limit
iter-limit
Counts
155 → 368
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 b b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (* (* b b) 1/2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* b 1/6) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
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(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
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#s(approx (exp a) #s(literal 1 binary64))
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#s(approx a a)
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#s(approx (exp a) (exp.f64 a))
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#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (*.f64 a a))) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))
#s(approx b b)
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (* (* b b) 1/2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* b 1/6) 1/2) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/480 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (- (exp b) -1) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64)))
#s(approx (+ (* b 1/6) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/480 binary64)) (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))

eval41.0ms (1.2%)

Memory
16.4MiB live, 109.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 15 879 to 1 991 computations (87.5% saved)

prune33.0ms (1%)

Memory
-36.0MiB live, 68.7MiB allocated; 10ms collecting garbage
Pruning

33 alts after pruning (21 fresh and 12 done)

PrunedKeptTotal
New31714331
Fresh3710
Picked055
Done077
Total32033353
Accuracy
99.7%
Counts
353 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
65.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
6.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
42.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
44.9%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
43.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
42.2%
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
51.6%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
23.3%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
13.1%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
55.2%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
51.6%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
53.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
53.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
53.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
49.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
37.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
41.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
20.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
30.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
17.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
17.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
3.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
18.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 2 366 to 959 computations (59.5% saved)

regimes50.0ms (1.4%)

Memory
17.6MiB live, 110.8MiB allocated; 4ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
a
11.0ms
b
8.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1(exp.f64 b)
98.8%1(exp.f64 a)
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1a
98.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes47.0ms (1.4%)

Memory
8.7MiB live, 105.5MiB allocated; 5ms collecting garbage
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

12.0ms
b
10.0ms
a
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.5%3(exp.f64 b)
98.6%2(exp.f64 a)
84.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.6%2a
99.5%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.6%)

Memory
-0.6MiB live, 46.1MiB allocated; 2ms collecting garbage
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

11.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes36.0ms (1%)

Memory
-22.7MiB live, 73.7MiB allocated; 5ms collecting garbage
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

10.0ms
a
9.0ms
b
8.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.1%3(exp.f64 b)
92.1%3b
88.6%2(exp.f64 a)
97.5%4a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes59.0ms (1.7%)

Memory
22.0MiB live, 69.2MiB allocated; 1ms collecting garbage
Counts
33 → 4
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

30.0ms
b
8.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
64.3%2(exp.f64 a)
69.5%2b
68.2%2(exp.f64 b)
73.1%4a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes30.0ms (0.9%)

Memory
-10.5MiB live, 36.6MiB allocated; 1ms collecting garbage
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Calls

2 calls:

20.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
69.5%2b
69.0%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
69.2%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.5%)

Memory
-8.2MiB live, 37.0MiB allocated; 4ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Calls

3 calls:

8.0ms
b
5.0ms
a
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.3%2a
65.5%2(exp.f64 b)
66.4%2b
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* b 1/6) 1/2) (*.f64 b #s(literal 1/6 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* b 1/6) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
66.3%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory
-39.0MiB live, 10.5MiB allocated; 5ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
66.3%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.4%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* b 1/6) 1/2) b) 1) b) 2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64))))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
56.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.1%1a
50.1%1(exp.f64 a)
56.8%2(exp.f64 b)
56.8%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.3%)

Memory
-21.7MiB live, 22.7MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

3 calls:

5.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
53.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
53.4%2b
53.4%2(exp.f64 b)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.2%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 b #s(literal 1/2 binary64))) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
Calls

3 calls:

3.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
53.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
53.1%2b
53.1%2(exp.f64 b)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory
-31.6MiB live, 15.5MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

2 calls:

3.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
53.1%2b
53.1%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.3%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Accuracy

Total -23.6b remaining (-60.3%)

Threshold costs -23.6b (-60.3%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
38.9%1(exp.f64 a)
38.9%1a
38.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.9%1b
38.9%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.3%)

Memory
-23.8MiB live, 23.0MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-37.58037055276507
-0.9344268227753421
Samples
5.0ms112×0valid
Compiler

Compiled 186 to 165 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (69.4% of total)
ival-div!: 1.0ms (34.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-37.58037055276507
-0.9344268227753421
Samples
5.0ms96×0valid
Compiler

Compiled 200 to 179 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 2.0ms (81.2% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch51.0ms (1.5%)

Memory
-5.1MiB live, 97.6MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
-2.0142116500805027e+21
-16438219831259372000.0
12.0ms
-1.5916416103418091e+47
-1.3220025451590787e+45
21.0ms
-6.470256139040336e+104
-1.76171039226203e+100
Samples
21.0ms352×0valid
5.0ms99×0exit
Compiler

Compiled 1 626 to 966 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 6.0ms (60.2% of total)
ival-div!: 2.0ms (20.1% of total)
ival-add!: 1.0ms (10% of total)
adjust: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
-13.4MiB live, 33.1MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
-8234.79165528783
-37.58037055276507
1.0ms
-1.5916416103418091e+47
-1.3220025451590787e+45
1.0ms
-6.470256139040336e+104
-1.76171039226203e+100
Samples
8.0ms112×0valid
Compiler

Compiled 1 703 to 1 008 computations (40.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 4.0ms (78.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
3.1248242140881284e+92
4.306280977508628e+95
Samples
5.0ms128×0valid
Compiler

Compiled 483 to 355 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (71.4% of total)
ival-div!: 1.0ms (35.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
-41.8MiB live, 4.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
3.1248242140881284e+92
4.306280977508628e+95
Compiler

Compiled 467 to 347 computations (25.7% saved)

bsearch1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1248242140881284e+92
4.306280977508628e+95
Compiler

Compiled 507 to 379 computations (25.2% saved)

bsearch1.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1248242140881284e+92
4.306280977508628e+95
Compiler

Compiled 491 to 371 computations (24.4% saved)

bsearch1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1248242140881284e+92
4.306280977508628e+95
Compiler

Compiled 515 to 387 computations (24.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0029447046873967
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9979115734865741
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0029447046873967
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0029447046873967
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

derivations633.0ms (18.2%)

Memory
39.6MiB live, 695.9MiB allocated; 185ms collecting garbage
Stop Event
fuel
Compiler

Compiled 910 to 157 computations (82.7% saved)

preprocess92.0ms (2.6%)

Memory
-18.9MiB live, 217.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 836 to 326 computations (82.2% saved)

end0.0ms (0%)

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

Profiling

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