Quotient of sum of exps

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze10.0ms (0.2%)

Memory
21.1MiB live, 21.1MiB 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)

sample2.5s (40.3%)

Memory
-182.3MiB live, 3 875.5MiB allocated; 1.7s collecting garbage
Samples
774.0ms8 256×0valid
271.0ms2 998×0exit
Precisions
Click to see histograms. Total time spent on operations: 599.0ms
ival-exp: 372.0ms (62.1% of total)
ival-div: 120.0ms (20% of total)
ival-add: 97.0ms (16.2% of total)
ival-assert: 6.0ms (1% of total)
adjust: 5.0ms (0.8% of total)
Bogosity

explain219.0ms (3.5%)

Memory
-0.3MiB live, 413.5MiB allocated; 107ms 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)))u/u10
(exp.f64 a)underflow69
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow69
(exp.f64 b)underflow47
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
88.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-exp: 15.0ms (46% of total)
ival-div: 12.0ms (36.8% of total)
ival-add: 5.0ms (15.3% of total)
ival-true: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess276.0ms (4.4%)

Memory
2.7MiB live, 443.0MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

series8.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
2.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite197.0ms (3.1%)

Memory
-2.8MiB live, 327.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150693
11016684
08036638
Stop Event
iter limit
node limit
Counts
36 → 54
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
a
(+ (exp a) (exp b))
(exp 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 b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval9.0ms (0.1%)

Memory
-29.2MiB live, 17.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune6.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New57865
Fresh000
Picked101
Done000
Total58866
Accuracy
100.0%
Counts
66 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(/.f64 (exp.f64 a) (/.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))))))
72.5%
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (exp.f64 b)))
71.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
60.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
62.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
72.3%
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
60.1%
#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)))))
81.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 270 to 184 computations (31.9% saved)

series347.0ms (5.5%)

Memory
41.9MiB live, 495.2MiB allocated; 188ms collecting garbage
Counts
39 → 180
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)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 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)))))
(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)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(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) #s(literal -1 binary64))
(/.f64 (exp.f64 a) (/.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 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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
#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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(exp.f64 (+.f64 a b))
(+.f64 a b)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (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 (* (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) (- (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 4 (/ 1 (+ 1 (pow (exp b) 3)))) (* a (- (+ (* 1/6 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (- 2 (exp b)) (+ 1 (pow (exp b) 3)))) (* 10/3 (/ 1 (+ 1 (pow (exp b) 3)))))) (+ (* 1/6 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3))))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (* 9/2 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))))))))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp b) 3)) (- (+ 1 (pow (exp b) 2)) (exp b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 4/3 (* 1/6 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (+ (/ (* (- 2 (exp b)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))) (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (* (- 2 (* 1/2 (exp b))) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp b) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 a) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* 9/2 a))) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))) (pow (exp b) 3)))))
#s(approx (pow (exp a) 3) #s(hole binary64 1))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* 3 a))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* 9/2 a))))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp b) 2)) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- 2 (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* -1 (* a (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* -1/2 (* a (exp b))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp b)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (exp b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (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) (- (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ (pow (exp a) 3) (pow (exp b) 3))))
#s(approx (pow (exp a) 3) #s(hole binary64 (pow (exp a) 3)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (+ a b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- b (* -1 a))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (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 (+ (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 (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (+ 1 (pow (exp a) 3)))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp a) 3)) (- (+ 1 (pow (exp a) 2)) (exp a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 4/3 (* 1/6 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (- 2 (exp a)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (* 1/2 (exp a))) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp a) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 b) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* 9/2 b))) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))) (pow (exp a) 3)))))
#s(approx (pow (exp b) 3) #s(hole binary64 1))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* 3 b))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* 9/2 b))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp a) 2)) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- 2 (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- 2 (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (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 (+ a b)) #s(hole binary64 (exp a)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (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 (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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) 3) #s(hole binary64 (pow (exp b) 3)))
#s(approx (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- a (* -1 b))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
81.0ms
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))) (exp a) a (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (/ (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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
73.0ms
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))) (exp a) a (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (/ (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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
67.0ms
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))) (exp a) a (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (/ (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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
50.0ms
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))) (exp a) a (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (/ (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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
29.0ms
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))) (exp a) a (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) 1/2 (/ (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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))

rewrite512.0ms (8.1%)

Memory
14.2MiB live, 492.5MiB allocated; 211ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08556178
158746140
083755796
Stop Event
iter limit
node limit
Counts
219 → 333
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (pow (- (exp b) -1) -1)))
(pow (- (exp b) -1) -1)
(- (exp b) -1)
(exp b)
b
-1
(/ (exp a) (+ (exp a) #s(approx (exp b) #s(hole binary64 1))))
(exp a)
a
(+ (exp a) #s(approx (exp b) #s(hole binary64 1)))
#s(approx (exp b) #s(hole binary64 1))
1
(/ (exp a) (+ (exp a) #s(approx (exp b) #s(hole binary64 (+ (* (+ (* 1/2 b) 1) b) 1)))))
(+ (exp a) #s(approx (exp b) #s(hole binary64 (+ (* (+ (* 1/2 b) 1) b) 1))))
#s(approx (exp b) #s(hole binary64 (+ (* (+ (* 1/2 b) 1) b) 1)))
(+ (* (+ (* 1/2 b) 1) b) 1)
(+ (* 1/2 b) 1)
1/2
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1)))))
(+ (* (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))
(* (log (+ 1 (exp a))) 2)
(log (+ 1 (exp a)))
2
(/ (exp a) (- (exp a) -1))
(- (exp a) -1)
(/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))))
(/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))
(+ (pow (exp a) 3) (pow (exp b) 3))
(pow (exp a) 3)
3
(pow (exp b) 3)
(+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))
(- (pow (exp b) 2) (exp (+ a b)))
(pow (exp b) 2)
(exp (+ a b))
(+ a b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (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 (* (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) (- (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 4 (/ 1 (+ 1 (pow (exp b) 3)))) (* a (- (+ (* 1/6 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (- 2 (exp b)) (+ 1 (pow (exp b) 3)))) (* 10/3 (/ 1 (+ 1 (pow (exp b) 3)))))) (+ (* 1/6 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3))))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (* 9/2 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))))))))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp b) 3)) (- (+ 1 (pow (exp b) 2)) (exp b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 4/3 (* 1/6 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (+ (/ (* (- 2 (exp b)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))) (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (* (- 2 (* 1/2 (exp b))) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp b) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 a) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* 9/2 a))) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))) (pow (exp b) 3)))))
#s(approx (pow (exp a) 3) #s(hole binary64 1))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* 3 a))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* 9/2 a))))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp b) 2)) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- 2 (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* -1 (* a (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* -1/2 (* a (exp b))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp b)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (exp b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (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) (- (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ (pow (exp a) 3) (pow (exp b) 3))))
#s(approx (pow (exp a) 3) #s(hole binary64 (pow (exp a) 3)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (+ a b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- b (* -1 a))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (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 (+ (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 (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (+ 1 (pow (exp a) 3)))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp a) 3)) (- (+ 1 (pow (exp a) 2)) (exp a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 4/3 (* 1/6 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (- 2 (exp a)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (* 1/2 (exp a))) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp a) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 b) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* 9/2 b))) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))) (pow (exp a) 3)))))
#s(approx (pow (exp b) 3) #s(hole binary64 1))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* 3 b))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* 9/2 b))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp a) 2)) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- 2 (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- 2 (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (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 (+ a b)) #s(hole binary64 (exp a)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (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 (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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) 3) #s(hole binary64 (pow (exp b) 3)))
#s(approx (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- a (* -1 b))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(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 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) (-.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (*.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) (*.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))))
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a))
(+.f64 (exp.f64 a) #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a 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 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) 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))) (fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)) (-.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))
(+.f64 (cosh.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (sinh.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (+.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (*.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))
(-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(+.f64 a (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a))))
(*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(literal 2 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (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 b 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 (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 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 b 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 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))))
(+.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 b a))))) (/.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 b a))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) (pow.f64 (exp.f64 b) #s(literal 9 binary64))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(fma.f64 (exp.f64 b) (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(fma.f64 (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 a))
(*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) a))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) a)) (sinh.f64 (*.f64 #s(literal 3 binary64) a)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))
(*.f64 (exp.f64 b) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) b))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) b)) (sinh.f64 (*.f64 #s(literal 3 binary64) b)))
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (exp.f64 (+.f64 b a)) (exp.f64 (+.f64 b a)))) (+.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (+.f64 b a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 b a)) (exp.f64 (+.f64 b a)) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (+.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))) (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
(fma.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
(fma.f64 (fabs.f64 (exp.f64 a)) (fabs.f64 (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
(fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
(-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
(+.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 (exp.f64 (+.f64 b a)) (exp.f64 (+.f64 b a)))) (fma.f64 (exp.f64 b) (exp.f64 b) (exp.f64 (+.f64 b a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 b a)) (exp.f64 (+.f64 b a)) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))
(*.f64 (pow.f64 (exp.f64 b) #s(literal 1 binary64)) (pow.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (exp.f64 b) (exp.f64 b))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) b))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (exp.f64 b)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (sinh.f64 (*.f64 #s(literal 2 binary64) b)))
(*.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 (+.f64 b a))
(+.f64 (cosh.f64 (+.f64 b a)) (sinh.f64 (+.f64 b a)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(+.f64 b a)
(+.f64 a b)
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a 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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (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 #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) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))) a (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 10/3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))))) a (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))))) a (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 b)) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))))) a (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 #s(literal 3 binary64) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) #s(literal 1 binary64))
#s(approx (pow (exp a) 3) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (fma.f64 (neg.f64 a) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 b) a)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (exp.f64 b) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) a) (exp.f64 b)) a (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))))
#s(approx (exp (+ a b)) (exp.f64 b))
#s(approx (exp (+ a b)) (fma.f64 (exp.f64 b) a (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/2 binary64) (exp.f64 b)) a (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a (exp.f64 b)) a (exp.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))
#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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
#s(approx (pow (exp a) 3) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
#s(approx (exp (+ a b)) (exp.f64 (+.f64 b a)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (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 (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a)))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a 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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a 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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a 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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (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 a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (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) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))))) b (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64))))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 a)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))))) b (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 #s(literal 3 binary64) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) #s(literal 1 binary64))
#s(approx (pow (exp b) 3) (fma.f64 #s(literal 3 binary64) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (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 (+ a b)) (exp.f64 a))
#s(approx (exp (+ a b)) (fma.f64 b (exp.f64 a) (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 a)) b (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b (exp.f64 a)) b (exp.f64 a)))
#s(approx (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 (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #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 (pow (exp b) 3) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
#s(approx (pow (exp b) 2) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a 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) (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (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 (neg.f64 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b)))))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval139.0ms (2.2%)

Memory
-36.8MiB live, 148.6MiB allocated; 53ms collecting garbage
Compiler

Compiled 16 493 to 1 975 computations (88% saved)

prune26.0ms (0.4%)

Memory
37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New44012452
Fresh303
Picked415
Done000
Total44713460
Accuracy
100.0%
Counts
460 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
59.8%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
32.9%
#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)))) #s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
32.0%
#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)))
81.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
31.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
30.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
31.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
32.8%
#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))))
32.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.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 646 to 442 computations (31.6% saved)

series63.0ms (1%)

Memory
-10.8MiB live, 41.6MiB allocated; 14ms collecting garbage
Counts
32 → 89
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
a
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (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 (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)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(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)
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) (+ (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 (+ (* (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 (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ 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)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
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) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
9.0ms
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) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
8.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
3.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
3.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)

rewrite324.0ms (5.1%)

Memory
5.3MiB live, 323.2MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03572322
120192298
090462138
Stop Event
iter limit
node limit
Counts
121 → 270
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (- (exp b) -1))))
(/ 1 (- (exp b) -1))
1
(- (exp b) -1)
(exp b)
b
-1
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
1/2
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2)))
(+ (+ (* 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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2)))
(+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2)
(- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4)
(* (+ (* -1/480 (* b b)) 1/48) (* b b))
(+ (* -1/480 (* b b)) 1/48)
-1/480
(* b b)
1/48
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (pow #s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) -1)))
(pow #s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b))) -1)
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
(+ 2 b)
2
#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) (+ (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 (+ (* (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 (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ 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)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Outputs
#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 (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)))
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#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) (+ (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 (+ (* (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 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (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 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64))
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (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 (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (*.f64 b 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))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/480 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)))) (pow.f64 b #s(literal 5 binary64)))))

eval112.0ms (1.8%)

Memory
15.6MiB live, 122.7MiB allocated; 76ms collecting garbage
Compiler

Compiled 11 759 to 1 472 computations (87.5% saved)

prune43.0ms (0.7%)

Memory
-46.1MiB live, 102.0MiB allocated; 13ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New28313296
Fresh437
Picked235
Done011
Total28920309
Accuracy
100.0%
Counts
309 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
59.8%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
32.9%
#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)))) #s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
31.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
81.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.2%
#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)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
32.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
31.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
30.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
31.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
15.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
32.8%
#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))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
32.4%
#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 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
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) b))))
Compiler

Compiled 1 147 to 786 computations (31.5% saved)

series66.0ms (1%)

Memory
30.3MiB live, 108.7MiB allocated; 14ms collecting garbage
Counts
35 → 109
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(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 -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#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))) (fma.f64 a #s(literal 1/4 binary64) (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 a #s(literal 1/4 binary64) (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)))
a
#s(literal 1/4 binary64)
(fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))
(neg.f64 b)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #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 (+ (* (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 (+.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)) 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))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a)
(+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 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(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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#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 (+ (+ (* 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1/4 b)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* b (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) b)) (* 1/4 (/ 1 a)))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 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))) (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) a 1/4 (+ (* 1/4 (neg b)) 1/2) (neg b) 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 b) 1/2) a) 1/4) a) (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) 1 (exp b))
15.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 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))) (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) a 1/4 (+ (* 1/4 (neg b)) 1/2) (neg b) 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 b) 1/2) a) 1/4) a) (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) 1 (exp b))
10.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 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))) (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) a 1/4 (+ (* 1/4 (neg b)) 1/2) (neg b) 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 b) 1/2) a) 1/4) a) (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) 1 (exp b))
5.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 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))) (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) a 1/4 (+ (* 1/4 (neg b)) 1/2) (neg b) 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 b) 1/2) a) 1/4) a) (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) 1 (exp b))
5.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 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))) (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) a 1/4 (+ (* 1/4 (neg b)) 1/2) (neg b) 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 b) 1/2) a) 1/4) a) (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) 1 (exp b))

rewrite291.0ms (4.6%)

Memory
40.1MiB live, 317.3MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04252585
124912556
081252355
Stop Event
iter limit
node limit
Counts
144 → 289
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (pow (pow (- (exp b) -1) -1/2) 2)))
(pow (pow (- (exp b) -1) -1/2) 2)
(pow (- (exp b) -1) -1/2)
(- (exp b) -1)
(exp b)
b
-1
-1/2
2
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 #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 (* -1/4 b)))
(* -1/4 b)
-1/4
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2))))
(+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2))
a
1/4
(+ (* 1/4 (neg b)) 1/2)
(neg b)
1/2
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a)))
(* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a)
(+ (/ (+ (* -1/4 b) 1/2) a) 1/4)
(/ (+ (* -1/4 b) 1/2) a)
(+ (* -1/4 b) 1/2)
(/ (exp a) (+ #s(approx (exp a) #s(hole binary64 1)) #s(approx (exp b) #s(hole binary64 1))))
(exp a)
(+ #s(approx (exp a) #s(hole binary64 1)) #s(approx (exp b) #s(hole binary64 1)))
#s(approx (exp a) #s(hole binary64 1))
1
#s(approx (exp b) #s(hole binary64 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#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 (+ (+ (* 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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1/4 b)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* b (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (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 (+ (* a 1/4) (+ (* 1/4 (neg b)) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) b)) (* 1/4 (/ 1 a)))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 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 (*.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 binary64)) #s(literal 1 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 (fma.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64) (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 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))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#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))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 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 (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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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 (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 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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 #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)))))
(/.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 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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))))))
(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 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 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 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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 #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 (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 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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 (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 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 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 #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) #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 (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)))
a
#s(literal 1/4 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(/.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)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.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(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 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#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)) 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 a a)
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (+.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 b) 1/2) a) 1/4) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)) a))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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 (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) (* (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 b) 1/2) a) 1/4) a) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (*.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 b) 1/2) a) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (+.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) (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 (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 (+ (+ (* 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 b) 1/2) a) 1/4) a) (*.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) (+ (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 (pow (- (exp b) -1) -1/2) 2) #s(literal 1/2 binary64))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) b (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (neg b) (neg.f64 b))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (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 (pow (- (exp b) -1) -1/2) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (+ (* 1/4 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 (neg b)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* 1/4 (neg b)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64)))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b) (/.f64 #s(literal 1/4 binary64) a)) b))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (/.f64 b a) #s(literal -1/4 binary64)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 #s(literal 1/4 binary64) a)) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (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)) 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 (neg b)) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))
#s(approx (* (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a) b) #s(literal -1 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))

eval74.0ms (1.2%)

Memory
-25.4MiB live, 112.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 13 014 to 1 456 computations (88.8% saved)

prune83.0ms (1.3%)

Memory
21.5MiB live, 75.7MiB allocated; 50ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New27813291
Fresh6511
Picked235
Done044
Total28625311
Accuracy
100.0%
Counts
311 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
59.8%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
33.6%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
33.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
33.7%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
32.9%
#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)))) #s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
81.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.2%
#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)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
32.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
30.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
31.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
31.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
15.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
32.8%
#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 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
32.4%
#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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
8.2%
#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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
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) b))))
Compiler

Compiled 2 190 to 814 computations (62.8% saved)

regimes125.0ms (2%)

Memory
-33.2MiB live, 102.9MiB allocated; 46ms collecting garbage
Counts
47 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#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)))) #s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (/.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))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

32.0ms
b
31.0ms
a
17.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms
(exp.f64 a)
14.0ms
(exp.f64 b)
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)

regimes55.0ms (0.9%)

Memory
8.1MiB live, 60.8MiB allocated; 16ms collecting garbage
Counts
40 → 3
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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
#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 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Calls

5 calls:

15.0ms
(exp.f64 b)
11.0ms
b
11.0ms
a
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
100.0%3(exp.f64 b)
97.5%2(exp.f64 a)
88.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
97.5%2a
100.0%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.3%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Counts
39 → 3
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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

10.0ms
b
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
100.0%3(exp.f64 b)
100.0%3b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes23.0ms (0.4%)

Memory
-7.3MiB live, 38.6MiB allocated; 5ms collecting garbage
Counts
38 → 3
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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.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))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

13.0ms
b
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
100.0%3(exp.f64 b)
100.0%3b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.3%)

Memory
-12.2MiB live, 34.2MiB allocated; 4ms collecting garbage
Counts
37 → 3
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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

12.0ms
b
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.8%3(exp.f64 b)
99.8%3b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes39.0ms (0.6%)

Memory
16.0MiB live, 62.4MiB allocated; 4ms collecting garbage
Counts
36 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

12.0ms
a
10.0ms
b
7.0ms
(exp.f64 a)
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
96.9%2(exp.f64 a)
97.3%2a
97.3%3(exp.f64 b)
97.3%3b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes48.0ms (0.8%)

Memory
-5.5MiB live, 89.6MiB allocated; 14ms collecting garbage
Counts
33 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

13.0ms
a
10.0ms
(exp.f64 b)
9.0ms
b
7.0ms
(exp.f64 a)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
81.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
81.0%1(exp.f64 b)
81.0%1b
84.0%2(exp.f64 a)
84.5%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes47.0ms (0.7%)

Memory
-4.6MiB live, 87.1MiB allocated; 10ms collecting garbage
Counts
32 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
a
9.0ms
b
7.0ms
(exp.f64 a)
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
54.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.5%2(exp.f64 b)
54.5%2b
58.3%2(exp.f64 a)
58.3%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes30.0ms (0.5%)

Memory
4.2MiB live, 59.3MiB allocated; 5ms collecting garbage
Counts
29 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64))))
#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)))
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

3 calls:

11.0ms
a
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
51.2%1a
51.2%1(exp.f64 a)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes54.0ms (0.9%)

Memory
4.3MiB live, 97.6MiB allocated; 7ms collecting garbage
Counts
22 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#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) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.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))) #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 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a)))))
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:

13.0ms
a
11.0ms
b
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
47.1%1(exp.f64 a)
49.3%2a
50.4%2(exp.f64 b)
50.4%2b
50.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes28.0ms (0.4%)

Memory
3.7MiB live, 50.1MiB allocated; 5ms collecting garbage
Counts
18 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #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)))))
Calls

5 calls:

8.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
a
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
40.1%2(exp.f64 a)
40.1%2a
34.8%1(exp.f64 b)
34.8%1b
39.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes118.0ms (1.9%)

Memory
-18.1MiB live, 39.3MiB allocated; 144ms collecting garbage
Counts
17 → 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) (*.f64 #s(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) #s(approx (+ (* 1/4 (neg b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.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) (+.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))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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))) #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 (+.f64 (/.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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

4 calls:

102.0ms
(exp.f64 a)
5.0ms
b
5.0ms
a
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
34.8%1b
34.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.8%1(exp.f64 a)
34.8%1a
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes9.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Accuracy

Total -20.3b remaining (-48.2%)

Threshold costs -20.3b (-48.2%)

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

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
34.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.2%1(exp.f64 a)
34.2%1(exp.f64 b)
34.2%1a
34.2%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch46.0ms (0.7%)

Memory
-43.1MiB live, 57.2MiB allocated; 20ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
6.500217264220217e-8
0.19148436337088287
26.0ms
-1.1532682891527968e+26
-8.359214331723601e-8
Samples
17.0ms320×0valid
0.0ms0exit
Compiler

Compiled 649 to 529 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 6.0ms (62% of total)
ival-div: 2.0ms (20.7% of total)
ival-add: 2.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.500217264220217e-8
0.19148436337088287
1.0ms
-1.1532682891527968e+26
-8.359214331723601e-8
Compiler

Compiled 631 to 511 computations (19% saved)

bsearch28.0ms (0.4%)

Memory
37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
6.500217264220217e-8
0.19148436337088287
13.0ms
-8.359214331723601e-8
-2.3759257373721443e-14
Samples
14.0ms272×0valid
Compiler

Compiled 497 to 425 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (63.7% of total)
ival-div: 2.0ms (25.5% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Memory
-11.4MiB live, 34.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
6.500217264220217e-8
0.19148436337088287
18.0ms
-2.3759257373721443e-14
-6.909076401595424e-21
Samples
17.0ms240×0valid
Compiler

Compiled 461 to 407 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (53.4% of total)
ival-exp: 4.0ms (35.6% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-26.0MiB live, 24.5MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-9.496443043006552e+20
-3904492.3909841897
Samples
8.0ms160×0valid
0.0ms0exit
Compiler

Compiled 281 to 251 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (61.8% of total)
ival-div: 1.0ms (20.6% of total)
ival-add: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-1.9547585984657168e+174
-2.443374900376824e+166
Samples
7.0ms144×0valid
2.0ms32×0exit
Compiler

Compiled 497 to 380 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (43.8% of total)
ival-div: 1.0ms (21.9% of total)
ival-add: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.753364420513003e-63
1.5393378172055998e-8
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.45227464597907824
0.4991768617407679
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
0.45227464597907824
0.4991768617407679
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch22.0ms (0.3%)

Memory
-29.7MiB live, 14.9MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-3.527947424546849
-0.0032925560114543963
Samples
7.0ms128×0valid
Compiler

Compiled 851 to 579 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.7% of total)
ival-div: 1.0ms (25.9% of total)
ival-add: 1.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify86.0ms (1.4%)

Memory
27.0MiB live, 69.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0133663
1200643
2413643
31104643
44338643
Stop Event
fuel
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 b #s(literal -1936908127739503/2305843009213693952 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 6110483974416289/1152921504606846976 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -1936908127739503/2305843009213693952 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 6110483974416289/1152921504606846976 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (<=.f64 b #s(literal -6195744825524975/75557863725914323419136 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 4796153459164483/73786976294838206464 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (<=.f64 b #s(literal -465465454771303/19807040628566084398385987584 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 4722366482869645/590295810358705651712 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -31000000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -820000000000000009452693431716575364121617918950640950788575762106183074480591848731446937577941816489052851064544069137593618652833488045820099331177264711905228479266816 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8286623314361713/18014398509481984 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))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8286623314361713/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))))))
(if (<=.f64 a #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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #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 (+ (* (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) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 b #s(literal -1936908127739503/2305843009213693952 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 6110483974416289/1152921504606846976 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -1936908127739503/2305843009213693952 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 6110483974416289/1152921504606846976 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (or (<=.f64 b #s(literal -1936908127739503/2305843009213693952 binary64)) (not (<=.f64 b #s(literal 6110483974416289/1152921504606846976 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 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -6195744825524975/75557863725914323419136 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 4796153459164483/73786976294838206464 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (or (<=.f64 b #s(literal -6195744825524975/75557863725914323419136 binary64)) (not (<=.f64 b #s(literal 4796153459164483/73786976294838206464 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 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))))
(if (<=.f64 b #s(literal -465465454771303/19807040628566084398385987584 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (if (<=.f64 b #s(literal 4722366482869645/590295810358705651712 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(if (or (<=.f64 b #s(literal -465465454771303/19807040628566084398385987584 binary64)) (not (<=.f64 b #s(literal 4722366482869645/590295810358705651712 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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -31000000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -820000000000000009452693431716575364121617918950640950788575762106183074480591848731446937577941816489052851064544069137593618652833488045820099331177264711905228479266816 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8286623314361713/18014398509481984 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))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8286623314361713/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (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))))))
(if (<=.f64 a #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(approx (+ (/ (+ (* -1/4 b) 1/2) a) 1/4) (*.f64 (/.f64 b a) #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 (+ (* (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) #s(literal 1/2 binary64)))
Compiler

Compiled 668 to 143 computations (78.6% saved)

preprocess96.0ms (1.5%)

Memory
-6.1MiB live, 89.8MiB allocated; 37ms collecting garbage
Compiler

Compiled 1 368 to 312 computations (77.2% saved)

end0.0ms (0%)

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

Profiling

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