Quotient of sum of exps

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB 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)

sample1.5s (36.4%)

Memory
-55.9MiB live, 1 213.9MiB allocated; 942ms collecting garbage
Samples
868.0ms8 256×0valid
148.0ms2 934×0exit
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-exp: 206.0ms (69.1% of total)
ival-div!: 54.0ms (18.1% of total)
ival-add!: 35.0ms (11.7% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain89.0ms (2.2%)

Memory
6.0MiB live, 147.3MiB allocated; 11ms 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
33.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 9.0ms (57.4% of total)
ival-add!: 4.0ms (25.5% of total)
ival-div!: 3.0ms (19.1% of total)
adjust: 0.0ms (0% of total)

preprocess30.0ms (0.7%)

Memory
-10.3MiB live, 40.3MiB allocated; 9ms 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
12.0MiB live, 12.0MiB 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
@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
@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)

rewrite223.0ms (5.5%)

Memory
25.4MiB live, 209.2MiB allocated; 25ms 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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (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))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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) (fma.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))) #s(literal -1 binary64) (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))))) (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
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune5.0ms (0.1%)

Memory
-37.5MiB live, 7.0MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh000
Picked101
Done000
Total63366
Accuracy
99.7%
Counts
66 → 3
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))))
62.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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)))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 123 to 54 computations (56.1% saved)

series191.0ms (4.7%)

Memory
9.9MiB live, 346.0MiB allocated; 65ms collecting garbage
Counts
39 → 182
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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))))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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)))))
(*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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)
(-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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 b)
(fma.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))) #s(literal -1 binary64) (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))))
(/.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))))))
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(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 3 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(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)))
#s(literal -1/2 binary64)
(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 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 (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
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Calls

6 calls:

TimeVariablePointExpression
52.0ms
b
@0
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39.0ms
a
@inf
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34.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)
15.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)
15.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)

rewrite207.0ms (5.1%)

Memory
-4.9MiB live, 277.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088215379
095113304
1601110469
0892710210
Stop Event
iter-limit
node-limit
iter-limit
Counts
221 → 315
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.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)
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a
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#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) #s(hole binary64 (- (exp (- a (* 3 (log (+ 1 (exp a)))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 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 (pow (- (exp b) -1) -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)))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 3) (- (+ (* -1 (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))) (+ (/ (exp a) (* (pow b 3) (+ 1 (exp a)))) (/ (exp (- a (* 3 (log (+ 1 (exp a)))))) b))) (+ (* 1/2 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b)) (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) (pow b 2)))))))
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Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.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 -1/2 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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 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
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#s(approx a a)
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#s(approx (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) #s(literal -1/8 binary64))
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#s(approx (- a (* (log (+ 1 (exp a))) 3)) a)
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#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
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#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64) (neg.f64 a)))))
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#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))) (fma.f64 (neg.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 (*.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)))))
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#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -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)
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#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (-.f64 (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 1/2 binary64))))
#s(approx (neg b) (neg.f64 b))
#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 #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 (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
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#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (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 1/2 binary64))) b)) (*.f64 b b)))
#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) b))) (*.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (*.f64 b b))))
#s(approx (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (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 1/2 binary64))) b)) (*.f64 b b)))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (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 1/2 binary64))) b)) b))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (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 1/2 binary64))) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b)) b) #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))) (*.f64 b b)))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))))

eval166.0ms (4.1%)

Memory
38.3MiB live, 225.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 72 176 to 4 491 computations (93.8% saved)

prune22.0ms (0.5%)

Memory
10.7MiB live, 55.7MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New68612698
Fresh000
Picked213
Done000
Total68813701
Accuracy
99.7%
Counts
701 → 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))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64)))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) 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))))
80.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.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 -1/2 binary64))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -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 (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
35.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
Compiler

Compiled 1 442 to 674 computations (53.3% saved)

series60.0ms (1.5%)

Memory
-14.8MiB live, 85.2MiB allocated; 13ms collecting garbage
Counts
50 → 230
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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 b b))
#s(literal 1/48 binary64)
(*.f64 b b)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b))
(fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64))
(neg.f64 b)
#s(literal 0 binary64)
#s(literal -1/16 binary64)
a
(*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)
(-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64))
(*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b)
(-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64))
#s(literal -1/48 binary64)
#s(literal 1/8 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b))
(+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b))
(-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64))
(*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64))
(*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)
(fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64))
(fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64))
#s(literal 1/16 binary64)
(*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.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 (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
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#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (* b (+ 1/16 (* -1/48 (pow b 2)))) a)))))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (+ (* -1/16 (/ (pow b 2) a)) (+ (* b (+ 1/16 (* -1/48 (pow b 2)))) (* 1/4 (/ 1 a)))) a)))))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1/4 (* -1/16 (pow b 2)))) (* -1 (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) a))) a)) (* b (+ 1/16 (* -1/48 (pow b 2))))) a)))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (* b (+ 1/16 (* -1/48 (pow b 2)))) a)))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (+ (* -1/16 (/ (pow b 2) a)) (+ (* b (+ 1/16 (* -1/48 (pow b 2)))) (* 1/4 (/ 1 a)))) a)))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1/4 (* -1/16 (pow b 2)))) (* -1 (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a))) a)) (* b (+ 1/16 (* -1/48 (pow b 2))))) a)))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ (+ (* -1 (* b (+ 1/16 (* -1/48 (pow b 2))))) (* -1 (/ (+ 1/4 (* -1/16 (pow b 2))) a))) a)) (* 1/48 (pow b 2))) 1/48))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ (+ (* -1 (* b (+ 1/16 (* -1/48 (pow b 2))))) (* 1/16 (/ (pow b 2) a))) a)) (* 1/48 (pow b 2))) 1/48))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* a (+ (* -1 (- (* 1/48 (pow b 2)) 1/48)) (* -1 (/ (* b (+ 1/16 (* -1/48 (pow b 2)))) a)))))))
#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* 1/48 (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* 1/48 (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* 1/48 (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (* b (- (exp (- a (* 3 (log (+ 1 (exp a)))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (* b (- (+ (exp (- a (* 3 (log (+ 1 (exp a)))))) (* -1 (* b (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (+ (* (neg b) 0) -1/16) #s(hole binary64 -1/16))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) #s(hole binary64 (* b (- (* 1/48 (pow b 2)) 1/4))))
#s(approx (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (+ (* (neg b) -1/48) 1/8) 1/8) #s(hole binary64 (* 1/48 b)))
#s(approx (+ (* (neg b) -1/48) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (neg b) -1/48) 1/8) #s(hole binary64 (+ 1/8 (* 1/48 b))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (+ (* 1/16 (pow a 2)) (* a (* b (- (* 1/48 (pow a 2)) 1/16)))) 1/4))))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (+ (* 1/16 (pow a 2)) (* b (+ (* a (- (* 1/48 (pow a 2)) 1/16)) (* b (+ 1/48 (* -1/48 (pow a 2))))))) 1/4))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (+ (* 1/16 (pow a 2)) (* a (* b (- (* 1/48 (pow a 2)) 1/16)))) 1/4)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (+ (* 1/16 (pow a 2)) (* b (+ (* a (- (* 1/48 (pow a 2)) 1/16)) (* b (+ 1/48 (* -1/48 (pow a 2))))))) 1/4)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* b (+ (* 1/16 a) (* b (- (* 1/48 (pow a 2)) 1/16))))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* b (+ (* 1/16 a) (* b (- (+ (* -1/48 (* a b)) (* 1/48 (pow a 2))) 1/16))))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (+ (* -1/48 (pow a 2)) (* b (+ (* 1/16 a) (* b (- (* 1/48 (pow a 2)) 1/16)))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (+ (* -1/48 (pow a 2)) (* b (+ (* 1/16 a) (* b (- (+ (* -1/48 (* a b)) (* 1/48 (pow a 2))) 1/16)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (+ (* -1/48 a) (* b (+ 1/16 (* 1/48 (* a b)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (+ (* -1/48 a) (* b (+ 1/16 (* b (+ (* -1/48 b) (* 1/48 a))))))))
#s(approx (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/48)))
#s(approx (* (+ (* (neg b) 0) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (+ (* (neg b) 0) 1/48) #s(hole binary64 1/48))
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#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/48 (pow a 2)) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (* a (- (* 1/48 (pow a 2)) 1/16)) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/16 (pow a 2))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2)))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/48 (pow a 2)) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (* a (- (* 1/48 (pow a 2)) 1/16)) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/16 (pow a 2))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2)))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* 1/48 (pow a 2)) (* 1/16 (/ a b))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a)) b)) (* 1/48 (pow a 2))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* 1/48 (pow a 2)) (* 1/16 (/ a b))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/16 a) (* 1/48 (/ (pow a 2) b))) b)) (* 1/48 (pow a 2))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1/48 (/ a b)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1 (/ (+ (* 1/48 a) (* 1/16 (/ 1 b))) b)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/48 (/ a b)) 1/16) b)) (* 1/48 a)) b)))))))
#s(approx (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/48 (* 1/16 (/ 1 (pow b 2))))))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
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))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (- (* 1/48 (* b b)) 1/4) (* 1/48 (* b b)) 1/48 (* b b) 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) (+ (* (neg b) 0) -1/16) (neg b) 0 -1/16 a (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) (- (+ (* (neg b) -1/48) 1/8) 1/8) (+ (* (neg b) -1/48) 1/8) -1/48 1/8 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (* (+ (* (neg b) 0) 1/48) (* b b)) (+ (* (neg b) 0) 1/48) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (+ (* (neg b) 1/48) 0) 1/16 (* (+ (* (neg b) 0) -1/16) (* b b)))
8.0ms
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))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (- (* 1/48 (* b b)) 1/4) (* 1/48 (* b b)) 1/48 (* b b) 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) (+ (* (neg b) 0) -1/16) (neg b) 0 -1/16 a (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) (- (+ (* (neg b) -1/48) 1/8) 1/8) (+ (* (neg b) -1/48) 1/8) -1/48 1/8 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (* (+ (* (neg b) 0) 1/48) (* b b)) (+ (* (neg b) 0) 1/48) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (+ (* (neg b) 1/48) 0) 1/16 (* (+ (* (neg b) 0) -1/16) (* b b)))
6.0ms
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))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (- (* 1/48 (* b b)) 1/4) (* 1/48 (* b b)) 1/48 (* b b) 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) (+ (* (neg b) 0) -1/16) (neg b) 0 -1/16 a (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) (- (+ (* (neg b) -1/48) 1/8) 1/8) (+ (* (neg b) -1/48) 1/8) -1/48 1/8 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (* (+ (* (neg b) 0) 1/48) (* b b)) (+ (* (neg b) 0) 1/48) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (+ (* (neg b) 1/48) 0) 1/16 (* (+ (* (neg b) 0) -1/16) (* b b)))
6.0ms
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))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (- (* 1/48 (* b b)) 1/4) (* 1/48 (* b b)) 1/48 (* b b) 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) (+ (* (neg b) 0) -1/16) (neg b) 0 -1/16 a (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) (- (+ (* (neg b) -1/48) 1/8) 1/8) (+ (* (neg b) -1/48) 1/8) -1/48 1/8 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (* (+ (* (neg b) 0) 1/48) (* b b)) (+ (* (neg b) 0) 1/48) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (+ (* (neg b) 1/48) 0) 1/16 (* (+ (* (neg b) 0) -1/16) (* b b)))
6.0ms
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))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (- (* 1/48 (* b b)) 1/4) (* 1/48 (* b b)) 1/48 (* b b) 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) (+ (* (neg b) 0) -1/16) (neg b) 0 -1/16 a (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) (- (+ (* (neg b) -1/48) 1/8) 1/8) (+ (* (neg b) -1/48) 1/8) -1/48 1/8 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (* (+ (* (neg b) 0) 1/48) (* b b)) (+ (* (neg b) 0) 1/48) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (+ (* (neg b) 1/48) 0) 1/16 (* (+ (* (neg b) 0) -1/16) (* b b)))

rewrite248.0ms (6.1%)

Memory
3.3MiB live, 339.5MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110114580
0116812354
1717212157
0916411320
Stop Event
iter-limit
node-limit
iter-limit
Counts
280 → 448
Calls
Call 1
Inputs
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(/.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
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#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
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#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))))))
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#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
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#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* 1/48 (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* 1/48 (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* 1/48 (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
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#s(approx (+ (* (neg b) 0) -1/16) #s(hole binary64 -1/16))
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#s(approx (+ (* (neg b) -1/48) 1/8) #s(hole binary64 1/8))
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#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (+ (* 1/16 (pow a 2)) (* a (* b (- (* 1/48 (pow a 2)) 1/16)))) 1/4)))))
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#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1 (/ (- (+ (exp (- a (* 3 (log (+ 1 (exp a)))))) (* -1 (/ (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))) b))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/4 (/ a b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/48 (pow a 2)) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (* a (- (* 1/48 (pow a 2)) 1/16)) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/16 (pow a 2))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2)))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/48 (pow a 2)) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (* a (- (* 1/48 (pow a 2)) 1/16)) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/16 (pow a 2))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) #s(hole binary64 (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2)))) b)) (* a (- (* 1/48 (pow a 2)) 1/16))) b)) (* 1/48 (pow a 2))) 1/48)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* 1/48 (pow a 2)) (* 1/16 (/ a b))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a)) b)) (* 1/48 (pow a 2))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* 1/48 (pow a 2)) (* 1/16 (/ a b))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/16 a) (* 1/48 (/ (pow a 2) b))) b)) (* 1/48 (pow a 2))) 1/16) b)) (* 1/48 a))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1/48 (/ a b)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1 (/ (+ (* 1/48 a) (* 1/16 (/ 1 b))) b)))))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) #s(hole binary64 (* -1 (* (pow b 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/48 (/ a b)) 1/16) b)) (* 1/48 a)) b)))))))
#s(approx (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/48 (* 1/16 (/ 1 (pow b 2))))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.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 -1/2 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) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #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 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 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)
#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(literal 1/2 binary64)
#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 (/ 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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 b (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/48 binary64) b) b)
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(literal 1/48 binary64)
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(+.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 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) #s(literal 3 binary64)) #s(literal -1/32768 binary64)) (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) (+.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) #s(literal -1/32 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) #s(literal 0 binary64)))))
(neg.f64 (*.f64 #s(literal 1/48 binary64) b))
(fma.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/48 binary64) (neg.f64 b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/48 binary64) b) #s(literal 0 binary64))
(-.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) #s(literal -1/32 binary64))
(+.f64 (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal -1/32 binary64)) #s(literal 1/32 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) #s(literal 1/48 binary64)))
#s(literal 1/16 binary64)
(*.f64 (*.f64 #s(literal -1/16 binary64) b) b)
(*.f64 (*.f64 b b) #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1/48 binary64)) b #s(literal 1/16 binary64)) b)) a (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))) a (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
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#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)))
#s(approx a a)
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#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b)) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b (*.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b)) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b)) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b)) a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
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#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
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#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/16 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) #s(literal 1/48 binary64))) (*.f64 a a)))
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#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/16 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a)) #s(literal 1/48 binary64))) (*.f64 a a)))
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#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))))))
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#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b) a) #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1/16 binary64) (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b (/.f64 #s(literal 1/4 binary64) a))) a) #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))) a))) a) #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)))) (pow.f64 a #s(literal 3 binary64)))))
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#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1/16 binary64) (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b (/.f64 #s(literal 1/4 binary64) a))) a) #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)))) (pow.f64 a #s(literal 3 binary64)))))
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))))) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) 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 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))))) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
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#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 a b) #s(literal 1/48 binary64))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/48 binary64) (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 a b) #s(literal 1/48 binary64))) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (*.f64 b b)))
#s(approx (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (*.f64 (*.f64 b b) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (*.f64 b b)))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (/.f64 a b) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) b))) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) #s(literal 1/4 binary64)) b))) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) b))) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) a (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b))) #s(literal 1/4 binary64)) b))) b))) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 a b) #s(literal 1/16 binary64) (*.f64 (*.f64 a a) #s(literal 1/48 binary64))) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b))) b))) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 a b) #s(literal 1/16 binary64) (*.f64 (*.f64 a a) #s(literal 1/48 binary64))) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) a)) b))) #s(literal 1/16 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) a (/.f64 #s(literal 1/16 binary64) b)) b) #s(literal -1 binary64) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) a (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64)) b))) b) #s(literal -1 binary64) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/16 binary64))) (pow.f64 b #s(literal 3 binary64)))))

eval144.0ms (3.5%)

Memory
-27.3MiB live, 159.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 88 375 to 3 504 computations (96% saved)

prune46.0ms (1.1%)

Memory
12.7MiB live, 103.1MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New5749583
Fresh347
Picked235
Done011
Total57917596
Accuracy
99.7%
Counts
596 → 17
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))))
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))))
80.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.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 -1/2 binary64))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 1/48 (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
15.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
36.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
Compiler

Compiled 2 204 to 1 028 computations (53.4% saved)

series31.0ms (0.8%)

Memory
18.2MiB live, 62.0MiB allocated; 5ms collecting garbage
Counts
36 → 108
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.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 -1/2 binary64))))
(*.f64 (pow.f64 (-.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 -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(*.f64 b b)
#s(literal -1/16 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)))))
(/.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(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)))
(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(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/48 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 (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (+ (* a (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))) (+ (* -1/24 (exp (neg (* 2 (log 2))))) (* 1/8 (exp (neg (* 3 (log 2))))))))) (* -1/4 (exp (neg (* 3 (log 2)))))) (* -1/8 (exp (neg (* 2 (log 2))))))) (* -1/4 (exp (neg (* 2 (log 2)))))))) (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2)))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (+ (* a (+ (* a (- (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* -1/12 (exp (neg (* 3 (log 2))))) (+ (* 1/24 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (+ (* 1/4 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/2 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))))))) (* -1/12 (exp (neg (* 3 (log 2)))))))) (* 1/6 (exp (neg (* 3 (log 2))))))) 1/48)) (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))) (+ (* -1/24 (exp (neg (* 2 (log 2))))) (* 1/8 (exp (neg (* 3 (log 2))))))))) (* -1/4 (exp (neg (* 3 (log 2)))))) (* -1/8 (exp (neg (* 2 (log 2))))))) (* -1/4 (exp (neg (* 2 (log 2))))))))) (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2)))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx a #s(hole binary64 a))
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#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
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#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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))))))
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#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
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#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
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#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) #s(hole binary64 (* 1/4 a)))
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#s(approx (+ (* (* b b) -1/16) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* b b) -1/16) 1/4) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#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)))))
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#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow b 3) 1/48) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (pow b 3) #s(hole binary64 (pow b 3)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
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#s(approx (* (+ (* (* b b) -1/16) 1/4) a) #s(hole binary64 (* (pow b 2) (+ (* -1/16 a) (* 1/4 (/ a (pow b 2)))))))
#s(approx (+ (* (* b b) -1/16) 1/4) #s(hole binary64 (* -1/16 (pow b 2))))
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#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
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#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)))
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#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (exp (- a (* 3 (log (+ 1 (exp a)))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1 (/ (- (+ (exp (- a (* 3 (log (+ 1 (exp a)))))) (* -1 (/ (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))) b))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (* (+ (* (* b b) -1/16) 1/4) a) (+ (* (* b b) -1/16) 1/4) (* b b) -1/16 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 1/48)
5.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (* (+ (* (* b b) -1/16) 1/4) a) (+ (* (* b b) -1/16) 1/4) (* b b) -1/16 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 1/48)
4.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (* (+ (* (* b b) -1/16) 1/4) a) (+ (* (* b b) -1/16) 1/4) (* b b) -1/16 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 1/48)
4.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (* (+ (* (* b b) -1/16) 1/4) a) (+ (* (* b b) -1/16) 1/4) (* b b) -1/16 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 1/48)
3.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+ (* 1/4 a) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (* (+ (* (* b b) -1/16) 1/4) a) (+ (* (* b b) -1/16) 1/4) (* b b) -1/16 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (* (pow b 3) 1/48) (pow b 3) 3 1/48)

rewrite221.0ms (5.5%)

Memory
7.8MiB live, 262.6MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06476987
06656214
142545674
088985163
Stop Event
iter-limit
node-limit
iter-limit
Counts
144 → 256
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.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 -1/2 binary64))))
(*.f64 (pow.f64 (-.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 -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(*.f64 b b)
#s(literal -1/16 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)))))
(/.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(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)))
(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(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
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#s(approx (exp b) #s(hole binary64 (exp b)))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 3) (- (+ (* -1 (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))) (/ (exp (- a (* 3 (log (+ 1 (exp a)))))) b)) (* 1/2 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 3) (- (+ (* -1 (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))) (+ (* -1 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) (pow b 2))) (/ (exp (- a (* 3 (log (+ 1 (exp a)))))) b))) (* 1/2 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 3) (- (+ (* -1 (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))) (+ (/ (exp a) (* (pow b 3) (+ 1 (exp a)))) (/ (exp (- a (* 3 (log (+ 1 (exp a)))))) b))) (+ (* 1/2 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b)) (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) (pow b 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (+ (* 1/4 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 3)))))) (/ 1/4 (pow b 2))))))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) #s(hole binary64 (* -1/16 (* a (pow b 2)))))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) #s(hole binary64 (* (pow b 2) (+ (* -1/16 a) (* 1/4 (/ a (pow b 2)))))))
#s(approx (+ (* (* b b) -1/16) 1/4) #s(hole binary64 (* -1/16 (pow b 2))))
#s(approx (+ (* (* b b) -1/16) 1/4) #s(hole binary64 (* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/16))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 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 (+ (* 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 (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (exp (- a (* 3 (log (+ 1 (exp a)))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1 (/ (- (+ (exp (- a (* 3 (log (+ 1 (exp a)))))) (* -1 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1 (/ (- (+ (exp (- a (* 3 (log (+ 1 (exp a)))))) (* -1 (/ (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a)))))) b))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a)))))))) b)) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.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 -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 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)
#s(literal -1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
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(fma.f64 #s(literal 1/4 binary64) a (*.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) a))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) a))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) a))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))
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(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/16 binary64))))))
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(fma.f64 (*.f64 #s(literal -1/16 binary64) b) b #s(literal 1/4 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/16 binary64) (*.f64 b b) #s(literal 1/4 binary64))
(fma.f64 b (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal -1/16 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.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 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
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(pow.f64 (exp.f64 (log.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 (neg.f64 b) #s(literal 2 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 -1/16 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64)))
(*.f64 (pow.f64 #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(literal -1/2 binary64)) (pow.f64 #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(literal -1/2 binary64)))
(pow.f64 (pow.f64 #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(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 #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(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #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(literal 1 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))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #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(literal -1 binary64)))
#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 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.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 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)
(*.f64 b (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)))
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(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 b #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (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 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 b a) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) (*.f64 (*.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) b) b (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/48 binary64)) a)) a)) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (neg.f64 b) #s(literal 0 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) 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 (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx a a)
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) b) b (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) #s(literal -1/2 binary64)))) (exp.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a))))) (*.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) #s(literal 1/2 binary64))) b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) b) b (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)))))
#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))) (fma.f64 (*.f64 #s(literal -1 binary64) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))) b)) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) 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 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))))) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) 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 (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (/.f64 b (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1/128 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) b (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #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 (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (*.f64 #s(literal -1 binary64) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b (neg.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b (*.f64 #s(literal -1/16 binary64) a)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (* b b) -1/16) 1/4) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (* b b) (*.f64 b b))
#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 (+ (* (+ (* 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 #s(literal 1/2 binary64) b #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 #s(literal 1/2 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 (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 (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/48 (* 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 (* (pow b 3) 1/48) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (pow b 3) (pow.f64 b #s(literal 3 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) b))) (*.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) #s(literal 1/2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 a) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) b))) (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) #s(literal 1/2 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/16 binary64) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 a b) #s(literal -1/16 binary64) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 a b) #s(literal -1/16 binary64) (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -1/16 binary64)))
#s(approx (* (+ (* (* b b) -1/16) 1/4) a) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) a)) (*.f64 b b)))
#s(approx (+ (* (* b b) -1/16) 1/4) (*.f64 (*.f64 b b) #s(literal -1/16 binary64)))
#s(approx (+ (* (* b b) -1/16) 1/4) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b)))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (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 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 3 binary64)))))

eval67.0ms (1.7%)

Memory
-23.5MiB live, 70.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 22 849 to 1 365 computations (94% saved)

prune52.0ms (1.3%)

Memory
4.1MiB live, 51.5MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New2874291
Fresh088
Picked415
Done044
Total29117308
Accuracy
99.7%
Counts
308 → 17
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))))
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)))))
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))))
17.7%
#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))))))
61.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 1/48 (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
15.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
36.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
Compiler

Compiled 3 039 to 826 computations (72.8% saved)

regimes40.0ms (1%)

Memory
-19.9MiB live, 73.8MiB allocated; 12ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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) (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))) #s(approx (pow (- (exp b) -1) -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 a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.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 -1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.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))) #s(literal -1 binary64) (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))))) (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 a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 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 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
a
8.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
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)

regimes33.0ms (0.8%)

Memory
32.2MiB live, 75.4MiB allocated; 5ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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) (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))) #s(approx (pow (- (exp b) -1) -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 a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 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:

8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
b
7.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(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)

regimes15.0ms (0.4%)

Memory
-15.6MiB live, 30.5MiB allocated; 3ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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) (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))) #s(approx (pow (- (exp b) -1) -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 a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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:

6.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes28.0ms (0.7%)

Memory
-7.7MiB live, 46.3MiB allocated; 10ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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) (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))) #s(approx (pow (- (exp b) -1) -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 a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 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:

12.0ms
b
6.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
80.8%1(exp.f64 b)
80.8%1b
84.7%2(exp.f64 a)
85.1%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes26.0ms (0.7%)

Memory
6.8MiB live, 53.2MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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) (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))) #s(approx (pow (- (exp b) -1) -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 a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) a (*.f64 (fma.f64 (fma.f64 (neg.f64 b) #s(literal 1/48 binary64) #s(literal 0 binary64)) b #s(literal 1/16 binary64)) b)) a (*.f64 (fma.f64 (neg.f64 b) #s(literal 0 binary64) #s(literal -1/16 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) a (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) #s(literal -1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) b) #s(literal 1/4 binary64)) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 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:

7.0ms
b
5.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.5%2(exp.f64 b)
57.5%2b
60.3%2(exp.f64 a)
57.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.3%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.3%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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) (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 (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 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:

4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
53.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
57.6%2a
57.6%2(exp.f64 a)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes19.0ms (0.5%)

Memory
-4.8MiB live, 40.7MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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 (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #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

5 calls:

6.0ms
a
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(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)
52.0%2(exp.f64 a)
52.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes50.0ms (1.2%)

Memory
-19.0MiB live, 27.3MiB allocated; 3ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (+ (* (+ (* (- (* (+ (* (neg b) 0) 1/48) (* b b)) 1/48) a) (* (+ (* (+ (* (neg b) 1/48) 0) b) 1/16) b)) a) (* (+ (* (neg b) 0) -1/16) (* b b))) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

4 calls:

39.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
b
3.0ms
a
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.0%2a
51.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.1%1b
39.1%1(exp.f64 b)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* 1/48 (* b b)) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
51.9%2(exp.f64 a)
51.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* 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) (+.f64 #s(literal 2 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

4 calls:

2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.1%1(exp.f64 b)
39.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.1%1(exp.f64 a)
39.1%1a
Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes34.0ms (0.9%)

Memory
-34.6MiB live, 14.2MiB allocated; 11ms collecting garbage
Accuracy

Total -22.6b remaining (-57.9%)

Threshold costs -22.6b (-57.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* (neg b) 0) -1/16) (* b b)) 1/4) a) (* (- (* (- (+ (* (neg b) -1/48) 1/8) 1/8) b) 1/4) b)) 1/2) (*.f64 #s(approx (+ (* (* b b) -1/16) 1/4) #s(literal 1/4 binary64)) a))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Calls

5 calls:

30.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
1.0ms
a
1.0ms
(exp.f64 a)
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
38.9%1(exp.f64 a)
38.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.9%1a
38.9%1b
38.9%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch10.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-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 (73% 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
-24.2MiB live, 20.1MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-37.58037055276507
-0.9344268227753421
Samples
4.0ms96×0valid
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 (84.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch14.0ms (0.4%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-2.0142116500805027e+21
-16438219831259372000.0
Samples
5.0ms112×0valid
2.0ms44×0exit
Compiler

Compiled 361 to 277 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (61.1% of total)
ival-div!: 1.0ms (30.6% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.775869387945311e-17
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.775869387945311e-17
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0029447046873967
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.3%)

Memory
-19.8MiB live, 24.1MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-8234.79165528783
-37.58037055276507
Samples
5.0ms112×0valid
Compiler

Compiled 1 579 to 760 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (73.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-37.58037055276507
-0.9344268227753421
Compiler

Compiled 1 334 to 641 computations (51.9% saved)

derivations370.0ms (9.1%)

Memory
8.7MiB live, 448.9MiB allocated; 40ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 068 to 162 computations (84.8% saved)

preprocess66.0ms (1.6%)

Memory
0.4MiB live, 91.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 2 168 to 350 computations (83.9% saved)

end0.0ms (0%)

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

Profiling

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