Quotient of sum of exps

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze6.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB 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)

sample1.2s (42.3%)

Memory
46.6MiB live, 974.9MiB allocated; 825ms collecting garbage
Samples
459.0ms2 904×0exit
417.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 322.0ms
ival-exp: 240.0ms (74.5% of total)
ival-div!: 50.0ms (15.5% of total)
ival-add!: 29.0ms (9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain72.0ms (2.5%)

Memory
-16.8MiB live, 73.2MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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/o10
(exp.f64 a)overflow1
(+.f64 (exp.f64 a) (exp.f64 b))overflow55
(exp.f64 a)overflow1
(exp.f64 b)overflow54
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 8.0ms (71.3% of total)
ival-div!: 2.0ms (17.8% of total)
ival-add!: 1.0ms (8.9% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

series7.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB 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
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
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite185.0ms (6.4%)

Memory
-31.6MiB live, 164.6MiB allocated; 32ms 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)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.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)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval7.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh000
Picked101
Done000
Total62466
Accuracy
100.0%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(/.f64 (exp.f64 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))))
68.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
66.0%
#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)))))
79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

series107.0ms (3.7%)

Memory
-3.8MiB live, 96.4MiB allocated; 9ms collecting garbage
Counts
28 → 130
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 (-.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 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(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))
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) 1) (- (exp b) 1))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* -2 a) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* -2 a) 2)) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* a (- (* -4/3 a) 2)) 2)) (pow (exp b) 2)) 1)))
#s(approx (pow (exp a) 2) #s(hole binary64 1))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* -1 a)) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* -1/2 a) 1))) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1)))
#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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) (pow (exp a) 2))))
#s(approx (pow (exp a) 2) #s(hole binary64 (pow (exp a) 2)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) (exp a))))
#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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- 1 (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* 2 b)) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2))))
#s(approx (pow (exp b) 2) #s(hole binary64 1))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 b) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))))
#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 (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#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
44.0ms
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) (pow (exp a) 2) (- (exp b) (exp a)))
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) (pow (exp a) 2) (- (exp b) (exp a)))
8.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) (pow (exp a) 2) (- (exp b) (exp a)))
7.0ms
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) (pow (exp a) 2) (- (exp b) (exp a)))
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)) (pow (exp b) 2) (pow (exp a) 2) (- (exp b) (exp a)))

rewrite197.0ms (6.9%)

Memory
8.5MiB live, 190.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06894544
07354242
146414200
083873809
Stop Event
iter-limit
node-limit
iter-limit
Counts
158 → 230
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 (-.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 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(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))
#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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) 1) (- (exp b) 1))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* -2 a) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* -2 a) 2)) (pow (exp b) 2)) 1)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ (* a (- (* a (- (* -4/3 a) 2)) 2)) (pow (exp b) 2)) 1)))
#s(approx (pow (exp a) 2) #s(hole binary64 1))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (pow (exp a) 2) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* -1 a)) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* -1/2 a) 1))) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1)))
#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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (pow (exp b) 2) (pow (exp a) 2))))
#s(approx (pow (exp a) 2) #s(hole binary64 (pow (exp a) 2)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) (exp a))))
#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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (/ (- 1 (pow (exp a) 2)) (- 1 (exp a)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a))))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- 1 (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* 2 b)) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) #s(hole binary64 (- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2))))
#s(approx (pow (exp b) 2) #s(hole binary64 1))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 b) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))))
#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 (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#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) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.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 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp 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 (-.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))))
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(*.f64 #s(literal -1 binary64) b)
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(neg.f64 b)
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
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(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
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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 (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)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (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))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.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)))
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(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
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(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (exp.f64 a) (-.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)))
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(/.f64 (exp.f64 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))))
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(*.f64 (exp.f64 b) (exp.f64 b))
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(*.f64 (exp.f64 a) (exp.f64 a))
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(exp.f64 (*.f64 #s(literal 2 binary64) a))
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(-.f64 (exp.f64 b) (exp.f64 a))
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#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
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#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
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#s(approx a a)
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
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#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
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#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))
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#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)))
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#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) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#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 (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (fma.f64 #s(literal -4/3 binary64) (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) (/.f64 #s(literal 7/6 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b)))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 b))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (-.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) (fma.f64 (pow.f64 (expm1.f64 b) #s(literal -2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 b)))))) (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (expm1.f64 b))) a (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 b))) (expm1.f64 b)) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (expm1.f64 b) #s(literal -2 binary64)) (pow.f64 (expm1.f64 b) #s(literal -3 binary64))) (/.f64 #s(literal 4/3 binary64) (expm1.f64 b)))))))) (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) (fma.f64 (pow.f64 (expm1.f64 b) #s(literal -2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 b)))))) a) (fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 b)))) a (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (fma.f64 #s(literal -2 binary64) a (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) a (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) a) #s(literal 2 binary64)) a) #s(literal 2 binary64)) a (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (pow (exp a) 2) #s(literal 1 binary64))
#s(approx (pow (exp a) 2) (fma.f64 #s(literal 2 binary64) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (expm1.f64 b))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 #s(literal -1 binary64) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (+ (* (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) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp 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))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (pow (exp a) 2) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
#s(approx (- (exp b) (exp 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 (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) (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 (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) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (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 (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (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 a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))) b (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (-.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64))))))) b (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (-.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (- (pow (exp b) 2) (pow (exp a) 2)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
#s(approx (pow (exp b) 2) #s(literal 1 binary64))
#s(approx (pow (exp b) 2) (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (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)) (exp.f64 a)))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#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 (pow (exp b) 2) (pow.f64 (exp.f64 b) #s(literal 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)))))))

eval38.0ms (1.3%)

Memory
17.6MiB live, 63.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 10 376 to 1 446 computations (86.1% saved)

prune13.0ms (0.4%)

Memory
-25.4MiB live, 21.5MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New34210352
Fresh000
Picked314
Done000
Total34511356
Accuracy
100.0%
Counts
356 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
67.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
28.8%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
58.7%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
48.6%
#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)))
38.5%
#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)))
79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
38.7%
#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))))
41.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
38.8%
#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))))
38.8%
#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 520 to 358 computations (31.2% saved)

series16.0ms (0.6%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Counts
28 → 77
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))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 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(approx (exp b) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (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 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 (+ (* (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 (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 (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 (/ (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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 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 (/ 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 (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #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)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
3.0ms
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))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
3.0ms
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))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
2.0ms
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))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
2.0ms
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))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))

rewrite213.0ms (7.4%)

Memory
-19.3MiB live, 217.3MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03401895
03561798
120521774
093861653
Stop Event
iter-limit
node-limit
iter-limit
Counts
105 → 204
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))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 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(approx (exp b) #s(literal 1 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 (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 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 (+ (* (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 (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 (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 (/ (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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 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 (/ 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 (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #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)))))))
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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
#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 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #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 (+.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)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.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))) (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 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #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 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 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 (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 #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 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 1/8 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))))))
(/.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)))))
(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 (/.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 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 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 1/4 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 (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)) (+.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 #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) (+.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 (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)))))))
(+.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) (pow.f64 (*.f64 #s(literal 1/4 binary64) 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 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) (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 (-.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 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) 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)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 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))))))
(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 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))) (/.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 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))) (/.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 #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 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #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))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) 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))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #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 (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 (*.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))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 b b (-.f64 #s(literal 4 binary64) (*.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (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 (-.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 (/.f64 (pow.f64 #s(approx (exp a) #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 (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)) (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 (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(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#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 #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)))) (+.f64 (/.f64 #s(literal 2/3 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 #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))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.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)
#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 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#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 (+ (* (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 (+ (* 1/4 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 (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 (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 (/ (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 (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 (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 (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 (+ (* (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 (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -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 (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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 a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))

eval26.0ms (0.9%)

Memory
-15.2MiB live, 31.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 178 to 895 computations (87.5% saved)

prune10.0ms (0.4%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1987205
Fresh235
Picked235
Done011
Total20214216
Accuracy
100.0%
Counts
216 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
67.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
28.8%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
58.7%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.5%
#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)))))
48.6%
#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)))))
38.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
38.7%
#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))))
41.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
38.8%
#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 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
41.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #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))))
4.2%
#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 720 to 486 computations (32.5% saved)

series23.0ms (0.8%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Counts
31 → 94
Calls
Call 1
Inputs
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))
(expm1.f64 b)
b
(expm1.f64 (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 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))) #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)
#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 (+ (* (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 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #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) -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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#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) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)))))
#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) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#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 (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 1/2))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 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 b))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* b (+ 1/6 (* 1/24 b)))))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* 2 b)))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* 2 b)))))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* b (+ 2 (* b (+ 4/3 (* 2/3 b)))))))))
#s(approx (* 2 b) #s(hole binary64 (* 2 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 (+ (* (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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))))
#s(approx (- (exp b) 1) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (- (exp (* 2 b)) 1)))
#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 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@inf
((/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (- (exp b) 1) b (- (exp (* 2 b)) 1) (* 2 b) 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 b) -1/4 (/ (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) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
5.0ms
b
@-inf
((/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (- (exp b) 1) b (- (exp (* 2 b)) 1) (* 2 b) 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 b) -1/4 (/ (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) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
4.0ms
b
@0
((/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (- (exp b) 1) b (- (exp (* 2 b)) 1) (* 2 b) 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 b) -1/4 (/ (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) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
2.0ms
a
@-inf
((/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (- (exp b) 1) b (- (exp (* 2 b)) 1) (* 2 b) 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 b) -1/4 (/ (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) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
2.0ms
a
@inf
((/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (- (exp b) 1) b (- (exp (* 2 b)) 1) (* 2 b) 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 b) -1/4 (/ (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) 1/2) 1/4 a 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)

rewrite182.0ms (6.3%)

Memory
-41.9MiB live, 145.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04823390
04983101
130183077
085002932
Stop Event
iter-limit
node-limit
iter-limit
Counts
125 → 190
Calls
Call 1
Inputs
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))
(expm1.f64 b)
b
(expm1.f64 (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 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))) #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)
#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 (+ (* (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 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #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) -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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1)))))
#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) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2)))))
#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) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#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 (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 1/2))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 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 b))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (- (exp b) 1) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* b (+ 1/6 (* 1/24 b)))))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* 2 b)))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* 2 b)))))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (* b (+ 2 (* b (+ 2 (* b (+ 4/3 (* 2/3 b)))))))))
#s(approx (* 2 b) #s(hole binary64 (* 2 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 (+ (* (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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(hole binary64 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))))
#s(approx (- (exp b) 1) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp (* 2 b)) 1) #s(hole binary64 (- (exp (* 2 b)) 1)))
#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 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Outputs
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 b #s(literal 3 binary64))) (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 #s(literal 2 binary64) b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(expm1.f64 (*.f64 b #s(literal 1 binary64)))
(expm1.f64 b)
(-.f64 (exp.f64 b) #s(literal 1 binary64))
b
(pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b))
(expm1.f64 (*.f64 #s(literal 2 binary64) b))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
(+.f64 b 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))) #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)
#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 (+ (* (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 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#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)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64)))
(pow.f64 #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(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #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)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #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(literal 1 binary64)))
(/.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))))
(exp.f64 (*.f64 (log.f64 #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(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)))
(/.f64 (-.f64 (pow.f64 (*.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(literal 4 binary64)) (-.f64 (*.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)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.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))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.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)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 2 binary64))
(fma.f64 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))))
(+.f64 (*.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))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#s(literal 1/6 binary64)
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (expm1.f64 b)) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (fma.f64 #s(literal -4/3 binary64) (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) (/.f64 #s(literal 7/6 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (fma.f64 (/.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))) a (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 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) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 3/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 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 #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))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.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) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx a a)
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (+ (* 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) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (*.f64 #s(literal -1 binary64) 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 (+ (+ (* 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 (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))) b (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) #s(literal 1/2 binary64))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 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) b)
#s(approx (- (exp b) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
#s(approx (- (exp b) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx (- (exp b) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) b #s(literal 1/6 binary64)) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (- (exp (* 2 b)) 1) (*.f64 #s(literal 2 binary64) b))
#s(approx (- (exp (* 2 b)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b))
#s(approx (- (exp (* 2 b)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b))
#s(approx (- (exp (* 2 b)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) b #s(literal 4/3 binary64)) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b))
#s(approx (* 2 b) (*.f64 #s(literal 2 binary64) b))
#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 (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) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (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)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (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 (/ 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 (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (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 (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
#s(approx (- (exp b) 1) (expm1.f64 b))
#s(approx (- (exp (* 2 b)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) 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 (+ (+ (* 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 (- (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 (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval22.0ms (0.8%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 835 to 977 computations (87.5% saved)

prune19.0ms (0.7%)

Memory
-24.4MiB live, 22.4MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New1957202
Fresh235
Picked145
Done044
Total19818216
Accuracy
100.0%
Counts
216 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
67.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
28.8%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
58.7%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
38.7%
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.5%
#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)))))
51.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
48.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
51.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) b #s(literal 2 binary64)))))
51.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
38.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
3.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
41.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
38.8%
#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 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
41.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #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))))
4.2%
#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 1 333 to 553 computations (58.5% saved)

regimes34.0ms (1.2%)

Memory
38.8MiB live, 38.8MiB allocated; 0ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) 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 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) b #s(literal 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))) (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 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)))))
(/.f64 (exp.f64 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))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

8.0ms
b
8.0ms
a
6.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.6%1(exp.f64 b)
99.6%1(exp.f64 a)
99.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1a
99.6%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes31.0ms (1.1%)

Memory
-11.4MiB live, 34.7MiB 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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) 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 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) b #s(literal 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))) (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))))
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

5 calls:

8.0ms
b
7.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.6%3(exp.f64 b)
99.1%2(exp.f64 a)
86.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.1%2a
99.6%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes27.0ms (0.9%)

Memory
-24.8MiB live, 25.8MiB allocated; 5ms 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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) 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 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) b #s(literal 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))) (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

5 calls:

7.0ms
(exp.f64 b)
6.0ms
a
5.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
79.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
79.8%1(exp.f64 b)
79.8%1b
79.8%1(exp.f64 a)
79.8%1a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.8%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms 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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) 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 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b))) b #s(literal 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))) (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))) (/.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))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
55.0%2(exp.f64 b)
51.5%1(exp.f64 a)
55.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
51.5%1a
55.0%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) 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))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

1 calls:

3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
55.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.4%)

Memory
-33.8MiB live, 12.9MiB allocated; 2ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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)))))
Calls

3 calls:

4.0ms
(exp.f64 b)
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.8%2(exp.f64 b)
54.9%2b
54.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.5%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))) (/.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 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#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 (+ (* (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)))))
Calls

5 calls:

3.0ms
b
3.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
48.6%1(exp.f64 a)
48.6%1a
51.7%2(exp.f64 b)
51.7%2b
51.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.5%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
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) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) #s(approx (/ (- (exp b) 1) (- (exp (* 2 b)) 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) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))))
Outputs
#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)))))
Calls

5 calls:

3.0ms
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
41.3%1a
41.3%1(exp.f64 a)
41.3%1(exp.f64 b)
41.3%1b
41.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.3%)

Memory
-35.5MiB live, 11.3MiB allocated; 2ms collecting garbage
Accuracy

Total -24.7b remaining (-65.6%)

Threshold costs -24.7b (-65.6%)

Counts
3 → 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))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
(exp.f64 a)
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
41.2%1(exp.f64 a)
41.2%1a
41.2%1(exp.f64 b)
41.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.2%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch15.0ms (0.5%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-934.2162597354303
-5.265005699632602e-8
Samples
7.0ms160×0valid
Compiler

Compiled 281 to 251 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (75.4% of total)
ival-div!: 1.0ms (25.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000000001853866
0.5000000594888071
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000000001853866
0.5000000594888071
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.49999999999362843
0.49999999999832717
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000000001853866
0.5000000594888071
Compiler

Compiled 11 to 11 computations (0% saved)

derivations261.0ms (9%)

Memory
2.9MiB live, 140.8MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 459 to 91 computations (80.2% saved)

preprocess45.0ms (1.6%)

Memory
7.8MiB live, 53.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 950 to 208 computations (78.1% saved)

end0.0ms (0%)

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

Profiling

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