Quotient of sum of exps

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
4.3MiB live, 4.3MiB 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)

sample1.3s (38.1%)

Memory
-43.4MiB live, 1 025.0MiB allocated; 954ms collecting garbage
Samples
486.0ms2 969×0exit
419.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 308.0ms
ival-exp: 170.0ms (55.2% of total)
ival-div: 76.0ms (24.7% of total)
ival-add: 55.0ms (17.9% of total)
ival-assert: 4.0ms (1.3% of total)
adjust: 3.0ms (1% of total)
Bogosity

explain76.0ms (2.3%)

Memory
-6.9MiB live, 91.5MiB allocated; 13ms 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/o30
(exp.f64 a)overflow3
(+.f64 (exp.f64 a) (exp.f64 b))overflow72
(exp.f64 a)overflow3
(exp.f64 b)overflow70
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
27.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (50.3% of total)
ival-div: 3.0ms (21.6% of total)
ival-add: 2.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess165.0ms (4.9%)

Memory
-2.4MiB live, 178.8MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
068
0108
1178
2438
31198
45828
559838
080508
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

series7.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@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)

rewrite189.0ms (5.6%)

Memory
21.2MiB live, 217.7MiB allocated; 47ms 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))

eval11.0ms (0.3%)

Memory
-34.3MiB live, 10.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh000
Picked101
Done000
Total62466
Accuracy
99.7%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
67.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.0%
#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)))))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 63 to 45 computations (28.6% saved)

series90.0ms (2.7%)

Memory
-0.4MiB live, 104.6MiB allocated; 14ms collecting garbage
Counts
27 → 117
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 (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)))))
(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))))
(neg.f64 b)
(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)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.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)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
(+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(cosh.f64 b)
(sinh.f64 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)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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 (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 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) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 4))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ a (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ (exp a) (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (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 (- (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 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 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 1))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 b)))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 2))))))))))
#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)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
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)))) (/ (exp a) (- (exp a) -1))) (neg b) (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 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (+ (exp a) (+ (cosh b) (sinh b))) (+ (cosh b) (sinh b)) (cosh b) (sinh b))
25.0ms
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)))) (/ (exp a) (- (exp a) -1))) (neg b) (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 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (+ (exp a) (+ (cosh b) (sinh b))) (+ (cosh b) (sinh b)) (cosh b) (sinh b))
12.0ms
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)))) (/ (exp a) (- (exp a) -1))) (neg b) (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 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (+ (exp a) (+ (cosh b) (sinh b))) (+ (cosh b) (sinh b)) (cosh b) (sinh b))
5.0ms
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)))) (/ (exp a) (- (exp a) -1))) (neg b) (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 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (+ (exp a) (+ (cosh b) (sinh b))) (+ (cosh b) (sinh b)) (cosh b) (sinh b))
5.0ms
b
@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)))) (/ (exp a) (- (exp a) -1))) (neg b) (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 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (+ (exp a) (+ (cosh b) (sinh b))) (+ (cosh b) (sinh b)) (cosh b) (sinh b))

rewrite216.0ms (6.4%)

Memory
-4.1MiB live, 182.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05093367
05452997
132382823
083432631
Stop Event
iter limit
node limit
iter limit
Counts
144 → 214
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 (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)))))
(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))))
(neg.f64 b)
(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)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.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)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
(+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(cosh.f64 b)
(sinh.f64 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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 (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 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) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))) (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 4))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))) 2)))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ a (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 1 (exp b)))) (* a (+ 1 (* 1/2 a))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (+ (* 1/2 (- (exp b) (/ 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ (exp a) (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ (exp a) (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (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 (- (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 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 (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 1))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 b)))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (cosh b) #s(hole binary64 1))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* 1/2 (pow b 2)))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* 1/24 (pow b 2)))))))
#s(approx (cosh b) #s(hole binary64 (+ 1 (* (pow b 2) (+ 1/2 (* (pow b 2) (+ 1/24 (* 1/720 (pow b 2)))))))))
#s(approx (sinh b) #s(hole binary64 b))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* 1/6 (pow b 2))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* 1/120 (pow b 2))))))))
#s(approx (sinh b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/120 (* 1/5040 (pow b 2))))))))))
#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)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (cosh b) (sinh b)) #s(hole binary64 (+ (* 1/2 (+ (exp b) (/ 1 (exp b)))) (* 1/2 (- (exp b) (/ 1 (exp b)))))))
#s(approx (cosh b) #s(hole binary64 (* 1/2 (+ (exp b) (/ 1 (exp b))))))
#s(approx (sinh b) #s(hole binary64 (* 1/2 (- (exp b) (/ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (pow.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 -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.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 (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 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.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 -1/2 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 (-.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 (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 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.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 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))))) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(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))))
(fma.f64 #s(literal -1 binary64) (*.f64 (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 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
(+.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(*.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (sinh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(+.f64 a (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a))))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
#s(literal 2 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64))))))
(+.f64 #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64)))
#s(approx (+ (cosh b) (sinh b)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.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 (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 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.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 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
(/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 b)))
(cosh.f64 (neg.f64 b))
(cosh.f64 b)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64))
(sinh.f64 b)
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh 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))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (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))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx a a)
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (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) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh b)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 3/2 binary64) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -4 binary64)))))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -2 binary64))) a (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) a)
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (+ 1 (exp a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (exp.f64 a))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh 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 #s(literal 1 binary64) (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))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (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 (*.f64 b b) #s(literal 1/48 binary64)) #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 (+ (cosh b) (sinh b)) #s(literal 1 binary64))
#s(approx (+ (cosh b) (sinh b)) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (cosh b) (sinh 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)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh b))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (+ (cosh b) (sinh 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 #s(literal 1 binary64) (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))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (+ (cosh b) (sinh b))) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (+ (cosh b) (sinh 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) (+ (cosh b) (sinh 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 (+ (cosh b) (sinh b)) #s(literal 1 binary64))
#s(approx (+ (cosh b) (sinh b)) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (cosh b) (sinh b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (cosh b) (sinh 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 (cosh b) #s(literal 1 binary64))
#s(approx (cosh b) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cosh b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (sinh b) b)
#s(approx (sinh b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sinh b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sinh b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#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 (+ (cosh b) (sinh b)) (exp.f64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (+ (cosh b) (sinh b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))))
#s(approx (cosh b) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (sinh b) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (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)))))))

eval34.0ms (1%)

Memory
17.1MiB live, 60.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 159 to 1 049 computations (85.3% saved)

prune16.0ms (0.5%)

Memory
-12.9MiB live, 31.7MiB allocated; 5ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New24810258
Fresh000
Picked314
Done000
Total25111262
Accuracy
99.7%
Counts
262 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
66.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
82.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
55.6%
#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)))
37.8%
#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)))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.6%
#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))))
39.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 488 to 348 computations (28.7% saved)

series29.0ms (0.9%)

Memory
5.1MiB live, 50.9MiB allocated; 5ms collecting garbage
Counts
33 → 124
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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
a
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
#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)))
(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 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)
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)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/4 (/ b a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/4 (/ b a)) 1/4)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/4 (/ a b)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
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))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
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))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
4.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
3.0ms
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))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
3.0ms
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))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)

rewrite201.0ms (6%)

Memory
7.5MiB live, 198.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153551
05453267
129793256
082443076
Stop Event
iter limit
node limit
iter limit
Counts
157 → 311
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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
a
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
#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)))
(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 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(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)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/4 (/ b a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/4 (/ b a)) 1/4)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/4 (/ a b)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
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 (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 (fabs.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 (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 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.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 -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(+.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 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 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(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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))))))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) a))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))
(fma.f64 (neg.f64 b) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) a))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) a))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))
(-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1/4 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b))
(-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal -1/4 binary64) a))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))
#s(literal 1/4 binary64)
a
(*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 b))
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) b))
(neg.f64 (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a))
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(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 4 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 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.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))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.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) (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 (-.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) (*.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)))))
(/.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)))))
(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))) (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)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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 (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)))
#s(approx a a)
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
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#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)))
#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 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal -1/48 binary64) a))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) a))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 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 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 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 (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 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (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 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 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 (log1p.f64 (exp.f64 a)) #s(literal 3 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 (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (* 1/4 (* 1/4 b)) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #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)) (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))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.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))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.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))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 b a) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (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)))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (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))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (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))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (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))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (neg.f64 b) (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)))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64))))

eval59.0ms (1.8%)

Memory
-1.5MiB live, 78.2MiB allocated; 34ms collecting garbage
Compiler

Compiled 15 619 to 1 648 computations (89.4% saved)

prune69.0ms (2.1%)

Memory
-3.1MiB live, 41.6MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New32611337
Fresh235
Picked325
Done011
Total33117348
Accuracy
99.7%
Counts
348 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
66.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
55.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 -1/2 binary64)) #s(literal 2 binary64)))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
58.0%
#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)))))
55.6%
#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)))))
37.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.6%
#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))))
39.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
39.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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)))))
12.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
Compiler

Compiled 1 114 to 756 computations (32.1% saved)

series81.0ms (2.4%)

Memory
-31.7MiB live, 60.2MiB allocated; 5ms collecting garbage
Counts
40 → 153
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#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 (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #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 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (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 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
(*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)
(fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
(/.f64 (*.f64 a a) b)
(*.f64 a a)
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 1/4))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ 1/4 b)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* 1/16 a) (* 1/4 (/ 1 b)))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* a (+ 1/16 (* -1/48 (/ a b)))) (* 1/4 (/ 1 b)))))
#s(approx (/ (* a a) b) #s(hole binary64 (/ (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (/ 1/4 b)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (+ (* 1/16 a) (* 1/4 (/ 1 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* -1/48 (/ (pow a 2) b))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ 1 a)) (* 1/48 (/ 1 b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* (pow a 2) (- (+ (/ 1/4 (* (pow a 2) b)) (* 1/16 (/ 1 a))) (* 1/48 (/ 1 b))))))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (* a (+ 1/16 (* 1/4 (/ 1 (* a b)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ (+ 1/4 (* -1/48 (pow a 2))) b)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b)))) b)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (/ (+ 1/4 (* 1/16 (* a b))) b)))
#s(approx (/ 1/4 b) #s(hole binary64 (/ 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 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 (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 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))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* -1 (* b (- (+ (* -1/16 a) (* 1/48 (/ (pow a 2) b))) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/4) b)) (* 1/16 a))))
Calls

6 calls:

TimeVariablePointExpression
48.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/ (* a a) b) (* a a) -1/48 (+ (* 1/16 a) (/ 1/4 b)) 1/16 (/ 1/4 b) (* (neg b) 1/4) (neg b))
11.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/ (* a a) b) (* a a) -1/48 (+ (* 1/16 a) (/ 1/4 b)) 1/16 (/ 1/4 b) (* (neg b) 1/4) (neg b))
6.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/ (* a a) b) (* a a) -1/48 (+ (* 1/16 a) (/ 1/4 b)) 1/16 (/ 1/4 b) (* (neg b) 1/4) (neg b))
5.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/ (* a a) b) (* a a) -1/48 (+ (* 1/16 a) (/ 1/4 b)) 1/16 (/ 1/4 b) (* (neg b) 1/4) (neg b))
3.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/ (* a a) b) (* a a) -1/48 (+ (* 1/16 a) (/ 1/4 b)) 1/16 (/ 1/4 b) (* (neg b) 1/4) (neg b))

rewrite228.0ms (6.8%)

Memory
42.6MiB live, 232.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06014543
06294200
134974178
085473885
Stop Event
iter limit
node limit
iter limit
Counts
193 → 298
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#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 (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #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 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (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 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
(*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)
(fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
(/.f64 (*.f64 a a) b)
(*.f64 a a)
#s(literal -1/48 binary64)
(fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 1/4))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ 1/4 b)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* 1/16 a) (* 1/4 (/ 1 b)))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* a (+ 1/16 (* -1/48 (/ a b)))) (* 1/4 (/ 1 b)))))
#s(approx (/ (* a a) b) #s(hole binary64 (/ (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (/ 1/4 b)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (+ (* 1/16 a) (* 1/4 (/ 1 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* -1/48 (/ (pow a 2) b))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ 1 a)) (* 1/48 (/ 1 b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* (pow a 2) (- (+ (/ 1/4 (* (pow a 2) b)) (* 1/16 (/ 1 a))) (* 1/48 (/ 1 b))))))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (* a (+ 1/16 (* 1/4 (/ 1 (* a b)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 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 (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ (+ 1/4 (* -1/48 (pow a 2))) b)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (/ (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b)))) b)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) #s(hole binary64 (/ (+ 1/4 (* 1/16 (* a b))) b)))
#s(approx (/ 1/4 b) #s(hole binary64 (/ 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 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 (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 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))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(hole binary64 (* -1 (* b (- (+ (* -1/16 a) (* 1/48 (/ (pow a 2) b))) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) #s(hole binary64 (+ (* -1 (/ (- (* 1/48 (pow a 2)) 1/4) b)) (* 1/16 a))))
Outputs
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
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(/.f64 (fma.f64 (pow.f64 (*.f64 a (/.f64 a b)) #s(literal 3 binary64)) #s(literal -1/110592 binary64) (pow.f64 (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))))))
(fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a (/.f64 a b)) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
(+.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/16 binary64) a)) (/.f64 #s(literal 1/4 binary64) b))
(+.f64 (*.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64)) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
(+.f64 (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)) (*.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64)))
(*.f64 a (/.f64 a b))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 b))
(/.f64 (*.f64 a a) b)
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(literal -1/48 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) b) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b)))))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) a))
(fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal 1/16 binary64) a))
(fma.f64 a #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) b))
(-.f64 (*.f64 #s(literal 1/16 binary64) a) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/16 binary64) a))
(+.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 #s(literal 1/4 binary64) b))
#s(literal 1/16 binary64)
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 b))
(/.f64 #s(literal 1/4 binary64) b)
(*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 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)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 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 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
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#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)))
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#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) #s(literal 1/4 binary64))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/.f64 #s(literal 1/4 binary64) b))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (fma.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) a (/.f64 #s(literal 1/4 binary64) b)))
#s(approx (/ (* a a) b) (*.f64 a (/.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b)))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
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#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
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#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (*.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) a) (/.f64 #s(literal 1/48 binary64) b)) (*.f64 a a)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/16 binary64) a)) (/.f64 #s(literal 1/48 binary64) b)) (*.f64 a a)))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) (*.f64 #s(literal 1/16 binary64) a))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b a)) #s(literal 1/16 binary64)) a))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 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 (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 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (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 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 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 (log1p.f64 (exp.f64 a)) #s(literal 3 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 (+ (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 (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx b b)
#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 (*.f64 b b) #s(literal 1/48 binary64)) #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 (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 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 (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* b b) 1/48) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* b b) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (/.f64 (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) b))
#s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) b))
#s(approx (/ 1/4 b) (/.f64 #s(literal 1/4 binary64) b))
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 b b)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.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))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (*.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b))) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 b a) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (*.f64 b a) #s(literal 1/16 binary64)))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (*.f64 #s(literal 1/16 binary64) a))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (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)))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (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))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (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))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (*.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b)))) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (neg.f64 b) (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)))))
#s(approx (* (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) b) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) a (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))))
#s(approx (+ (* (/ (* a a) b) -1/48) (+ (* 1/16 a) (/ 1/4 b))) (fma.f64 #s(literal 1/16 binary64) a (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))))

eval52.0ms (1.6%)

Memory
-18.3MiB live, 76.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 17 358 to 1 744 computations (90% saved)

prune24.0ms (0.7%)

Memory
16.5MiB live, 58.3MiB allocated; 7ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New3202322
Fresh099
Picked145
Done033
Total32118339
Accuracy
99.7%
Counts
339 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
66.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
55.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 -1/2 binary64)) #s(literal 2 binary64)))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
58.0%
#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)))))
55.6%
#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)))))
37.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.6%
#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))))
10.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
39.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
39.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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)))))
12.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
Compiler

Compiled 1 510 to 608 computations (59.7% saved)

regimes41.0ms (1.2%)

Memory
-36.0MiB live, 72.9MiB allocated; 10ms collecting garbage
Counts
28 → 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 -1/2 binary64)) #s(literal 2 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))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
#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)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

10.0ms
(exp.f64 b)
10.0ms
b
8.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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)

regimes36.0ms (1.1%)

Memory
-1.7MiB live, 45.3MiB allocated; 2ms 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 -1/2 binary64)) #s(literal 2 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))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 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:

10.0ms
(exp.f64 a)
7.0ms
b
7.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.9%3(exp.f64 b)
99.4%2(exp.f64 a)
82.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.4%2a
98.9%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 -1/2 binary64)) #s(literal 2 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:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%2(exp.f64 a)
98.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes33.0ms (1%)

Memory
-6.9MiB live, 39.2MiB allocated; 3ms collecting garbage
Counts
20 → 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 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))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

17.0ms
b
6.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
82.8%1(exp.f64 b)
82.8%1b
82.8%1(exp.f64 a)
82.8%1a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes29.0ms (0.9%)

Memory
-0.5MiB live, 42.5MiB allocated; 10ms collecting garbage
Counts
19 → 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) #s(approx (+ (* 1/16 a) (/ 1/4 b)) (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 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(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 (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:

8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
b
5.0ms
a
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.0%1(exp.f64 a)
60.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
61.1%2(exp.f64 b)
58.0%1a
61.1%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.5%)

Memory
29.6MiB live, 29.6MiB allocated; 0ms collecting garbage
Counts
10 → 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

3.0ms
b
3.0ms
a
3.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
55.6%1a
55.6%1(exp.f64 a)
58.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
58.4%2(exp.f64 b)
58.4%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes29.0ms (0.8%)

Memory
-32.6MiB live, 22.5MiB allocated; 21ms collecting garbage
Accuracy

Total -24.3b remaining (-63%)

Threshold costs -24.3b (-63%)

Counts
9 → 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 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))) (/.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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 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)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 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 (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Calls

5 calls:

17.0ms
b
3.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.8%1a
39.8%1(exp.f64 a)
39.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.8%1(exp.f64 b)
39.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch10.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-0.995237208376001
-0.19188934903003252
Samples
5.0ms96×0valid
Compiler

Compiled 161 to 143 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (70.2% of total)
ival-div: 1.0ms (35.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory
-31.5MiB live, 14.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-0.995237208376001
-0.19188934903003252
Samples
3.0ms64×0valid
Compiler

Compiled 173 to 155 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (51.3% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-128359.82804913633
-59.70631777961734
Samples
7.0ms128×0valid
Compiler

Compiled 355 to 267 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49.8% of total)
ival-div: 1.0ms (24.9% of total)
ival-add: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-128359.82804913633
-59.70631777961734
Compiler

Compiled 331 to 251 computations (24.2% saved)

simplify58.0ms (1.7%)

Memory
1.0MiB live, 46.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049191
162191
296191
3201191
4880191
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1080863910568919/2251799813685248 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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -2206763817411543/2251799813685248 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))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 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))))
(if (<=.f64 b #s(literal -60 binary64)) #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))) (/.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))))))
(if (<=.f64 b #s(literal -60 binary64)) #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))) (/.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))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1080863910568919/2251799813685248 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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -2206763817411543/2251799813685248 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))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 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))))
(if (<=.f64 b #s(literal -60 binary64)) #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))) (/.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))))))
(if (<=.f64 b #s(literal -60 binary64)) #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))) (/.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))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))

derivations192.0ms (5.7%)

Memory
9.8MiB live, 151.4MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 191 to 50 computations (73.8% saved)

preprocess43.0ms (1.3%)

Memory
-12.1MiB live, 74.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 414 to 126 computations (69.6% saved)

end0.0ms (0%)

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

Profiling

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