Quotient of sum of exps

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB 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)

sample979.0ms (33.3%)

Memory
28.0MiB live, 1 302.4MiB allocated; 171ms collecting garbage
Samples
445.0ms8 256×0valid
158.0ms3 081×0exit
Precisions
Click to see histograms. Total time spent on operations: 333.0ms
ival-exp: 172.0ms (51.6% of total)
ival-div: 103.0ms (30.9% of total)
ival-add: 52.0ms (15.6% of total)
ival-assert: 4.0ms (1.2% of total)
adjust: 3.0ms (0.9% of total)
Bogosity

explain73.0ms (2.5%)

Memory
-0.6MiB live, 90.6MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
(exp.f64 a)overflow1
(+.f64 (exp.f64 a) (exp.f64 b))overflow80
(exp.f64 a)overflow1
(exp.f64 b)overflow79
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
(exp.f64 a)underflow75
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow75
(exp.f64 b)underflow50
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 9.0ms (59.5% of total)
ival-div: 3.0ms (19.8% of total)
ival-add: 2.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess153.0ms (5.2%)

Memory
-2.6MiB live, 141.2MiB allocated; 14ms 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)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

series7.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

rewrite172.0ms (5.9%)

Memory
-14.2MiB live, 172.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval7.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh000
Picked101
Done000
Total62466
Accuracy
99.7%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
62.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
60.4%
#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)))))
80.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 63 to 46 computations (27% saved)

series91.0ms (3.1%)

Memory
-12.2MiB live, 133.5MiB allocated; 24ms collecting garbage
Counts
27 → 108
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(cosh.f64 a)
(sinh.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (+ (cosh a) (sinh a)) #s(hole binary64 1))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 a)))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (sinh a) #s(hole binary64 a))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ (exp a) (exp b)))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/6 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+ (cosh a) (sinh a)) (cosh a) (sinh a) (+ (exp a) (exp b)))
32.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+ (cosh a) (sinh a)) (cosh a) (sinh a) (+ (exp a) (exp b)))
7.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+ (cosh a) (sinh a)) (cosh a) (sinh a) (+ (exp a) (exp b)))
6.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+ (cosh a) (sinh a)) (cosh a) (sinh a) (+ (exp a) (exp b)))
5.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+ (cosh a) (sinh a)) (cosh a) (sinh a) (+ (exp a) (exp b)))

rewrite191.0ms (6.5%)

Memory
-7.0MiB live, 199.5MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04893048
05272707
130842593
085492455
Stop Event
iter limit
node limit
iter limit
Counts
135 → 229
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(cosh.f64 a)
(sinh.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (+ (cosh a) (sinh a)) #s(hole binary64 1))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 a)))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (sinh a) #s(hole binary64 a))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ (exp a) (exp b)))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/6 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Outputs
#s(approx (/ (+ (cosh a) (sinh 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) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(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 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))))) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
(+.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(*.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(/.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 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (sinh.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(+.f64 a (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a))))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 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 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 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 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (fma.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.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 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 a)))
(cosh.f64 (neg.f64 a))
(cosh.f64 a)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64))
(sinh.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 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx a a)
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64))
#s(approx (+ (cosh a) (sinh a)) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (cosh a) (sinh a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (cosh a) (sinh a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (exp a) (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 (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64))
#s(approx (+ (cosh a) (sinh a)) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (cosh a) (sinh a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (cosh a) (sinh 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 (cosh a) #s(literal 1 binary64))
#s(approx (cosh a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cosh a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (sinh a) a)
#s(approx (sinh a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) a)
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (+ 1 (exp a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (+ (cosh a) (sinh a)) (exp.f64 a))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (cosh a) (sinh a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))
#s(approx (cosh a) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)))
#s(approx (sinh a) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) a) #s(literal 1 binary64))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 (/ (+ (cosh a) (sinh 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 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)))
#s(approx (/ (+ (cosh a) (sinh a)) (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #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 (+ (* (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 (+ (* (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)))))))

eval53.0ms (1.8%)

Memory
-3.3MiB live, 41.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 8 797 to 1 207 computations (86.3% saved)

prune12.0ms (0.4%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New29712309
Fresh000
Picked314
Done000
Total30013313
Accuracy
99.7%
Counts
313 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
62.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
79.6%
#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)))
43.4%
#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)))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
80.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
30.5%
#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))))
30.0%
#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))))
30.9%
#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))))
33.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
30.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.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))))
30.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.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 582 to 414 computations (28.9% saved)

series25.0ms (0.9%)

Memory
-28.0MiB live, 18.3MiB allocated; 2ms 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
10.0ms
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)
5.0ms
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)
4.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (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)
2.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -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)
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+ (* 1/4 a) (* (neg b) 1/4)) 1/4 a (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -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)

rewrite184.0ms (6.3%)

Memory
-6.8MiB live, 237.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03712401
03952268
120642244
090922138
Stop Event
iter limit
node limit
iter limit
Counts
121 → 270
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)
#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 (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
(/.f64 (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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))))))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) (neg.f64 b))))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 b)) (*.f64 #s(literal 1/4 binary64) a)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) a))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(/.f64 (+.f64 #s(literal 1/110592 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/2304 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
(/.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal 1/110592 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))))
(fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))
(-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))
(+.f64 (/.f64 #s(literal 1/110592 binary64) (+.f64 #s(literal 1/2304 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/110592 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
#s(literal -1/480 binary64)
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#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)))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 b b (-.f64 #s(literal 4 binary64) (*.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)))
#s(approx a a)
#s(approx (/ (exp a) (+ (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 (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (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 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64))
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* 1/4 a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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)))))

eval37.0ms (1.3%)

Memory
9.7MiB live, 100.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 11 759 to 1 477 computations (87.4% saved)

prune22.0ms (0.7%)

Memory
36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New28610296
Fresh437
Picked235
Done011
Total29217309
Accuracy
99.7%
Counts
309 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
62.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
30.2%
#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)))
80.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
46.7%
#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)))))
43.4%
#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)))))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
30.5%
#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))))
30.0%
#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))))
30.9%
#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))))
17.3%
#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)))))
33.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
30.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.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))))
33.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
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) b))))
Compiler

Compiled 877 to 606 computations (30.9% saved)

series41.0ms (1.4%)

Memory
-42.2MiB live, 56.8MiB allocated; 6ms collecting garbage
Counts
31 → 108
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#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)))
(fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 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 (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 (+ (* (- (* (+ (* -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)))
(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1/480 binary64)
Outputs
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh 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) (+ (+ (cosh a) (sinh 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) (+ (+ (cosh a) (sinh 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 (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 1))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 a)))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 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 (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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 (- (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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (* (pow b 5) -1/480) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (pow b 5) #s(hole binary64 (pow b 5)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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
9.0ms
b
@-inf
((/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) (exp a) a (+ (+ (cosh a) (sinh a)) (exp b)) (+ (cosh a) (sinh a)) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (* (pow b 5) -1/480) (pow b 5) 5 -1/480)
8.0ms
b
@0
((/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) (exp a) a (+ (+ (cosh a) (sinh a)) (exp b)) (+ (cosh a) (sinh a)) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (* (pow b 5) -1/480) (pow b 5) 5 -1/480)
7.0ms
b
@inf
((/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) (exp a) a (+ (+ (cosh a) (sinh a)) (exp b)) (+ (cosh a) (sinh a)) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (* (pow b 5) -1/480) (pow b 5) 5 -1/480)
6.0ms
a
@inf
((/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) (exp a) a (+ (+ (cosh a) (sinh a)) (exp b)) (+ (cosh a) (sinh a)) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (* (pow b 5) -1/480) (pow b 5) 5 -1/480)
6.0ms
a
@-inf
((/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) (exp a) a (+ (+ (cosh a) (sinh a)) (exp b)) (+ (cosh a) (sinh a)) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (* (pow b 5) -1/480) (pow b 5) 5 -1/480)

rewrite177.0ms (6%)

Memory
46.8MiB live, 179.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04513567
04653227
126713096
085342875
Stop Event
iter limit
node limit
iter limit
Counts
139 → 214
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#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)))
(fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 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 (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 (+ (* (- (* (+ (* -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)))
(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1/480 binary64)
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh 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) (+ (+ (cosh a) (sinh 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) (+ (+ (cosh a) (sinh 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 (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 1))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 a)))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* 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 (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (cosh a) (sinh a)) #s(hole binary64 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp 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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (sinh a)) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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 (- (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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (* (pow b 5) -1/480) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (pow b 5) #s(hole binary64 (pow b 5)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
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 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
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(fma.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 b #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(+.f64 (*.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64)) b))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))
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(/.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))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
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(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)
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(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* 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 (- (exp b) -1)) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))
#s(approx (+ (* (- (* (+ (* -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)))
(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))
(*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 5/2 binary64))) (neg.f64 (pow.f64 b #s(literal 5/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 b #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 b #s(literal 5/2 binary64))))
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 5 binary64))
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64))
(pow.f64 b #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))))
#s(literal 5 binary64)
#s(literal -1/480 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
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#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))))
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#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 (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
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#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
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#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 (+ (* (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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (exp.f64 b))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (exp.f64 b)))
#s(approx (exp a) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
#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 (exp.f64 a) #s(literal 1 binary64)))))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (*.f64 #s(literal -1 binary64) b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 3 binary64))))) b)) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64))))) b)) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 3 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)))))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) b) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (sinh a)) (exp b)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (*.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 (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 (/ (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 (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (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 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #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 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (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 (exp.f64 a) #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 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx b b)
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (* (pow b 5) -1/480) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (pow b 5) (pow.f64 b #s(literal 5 binary64)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) #s(literal 1 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 (- (exp b) -1)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (*.f64 (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 (- (exp b) -1)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b)))
#s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* (- (* (+ (* -1/480 (* 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)))))

eval32.0ms (1.1%)

Memory
-15.1MiB live, 46.8MiB allocated; 16ms collecting garbage
Compiler

Compiled 7 304 to 953 computations (87% saved)

prune21.0ms (0.7%)

Memory
-14.7MiB live, 30.1MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New2034207
Fresh178
Picked145
Done044
Total20519224
Accuracy
99.7%
Counts
224 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
62.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
80.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
46.7%
#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)))))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
15.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
27.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b))))))
15.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
30.5%
#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))))
30.0%
#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))))
30.9%
#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))))
16.6%
#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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 binary64)))))
17.3%
#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)))))
33.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
30.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.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))))
33.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
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) b))))
Compiler

Compiled 1 426 to 595 computations (58.3% saved)

regimes41.0ms (1.4%)

Memory
-13.5MiB live, 75.6MiB allocated; 7ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 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 (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b))))))
#s(approx (/ (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (cosh.f64 a) (sinh.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)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

11.0ms
a
8.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 b)
99.2%1(exp.f64 a)
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1a
99.2%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes36.0ms (1.2%)

Memory
11.7MiB live, 65.5MiB allocated; 8ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 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 (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b))))))
#s(approx (/ (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

9.0ms
(exp.f64 a)
7.0ms
a
7.0ms
b
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.3%3(exp.f64 b)
99.1%2(exp.f64 a)
80.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.1%2a
99.3%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 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 (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b))))))
#s(approx (/ (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 (+ (cosh a) (sinh a)) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.9%2(exp.f64 a)
97.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes24.0ms (0.8%)

Memory
-8.9MiB live, 36.9MiB allocated; 3ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 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

4 calls:

7.0ms
(exp.f64 a)
6.0ms
a
6.0ms
b
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
80.0%1(exp.f64 b)
80.0%1b
84.1%2(exp.f64 a)
84.2%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes27.0ms (0.9%)

Memory
7.9MiB live, 51.9MiB allocated; 5ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #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 (*.f64 b b) #s(literal 5/2 binary64)) #s(literal -1/480 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:

8.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
49.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
49.8%2b
49.8%2(exp.f64 b)
55.9%2(exp.f64 a)
55.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes17.0ms (0.6%)

Memory
-23.5MiB live, 22.6MiB allocated; 3ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (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))) (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))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

3 calls:

8.0ms
b
5.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
49.8%2b
46.7%1(exp.f64 a)
46.7%1a
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes23.0ms (0.8%)

Memory
-8.9MiB live, 44.0MiB allocated; 8ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

11.0ms
a
4.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
43.4%1a
43.4%1(exp.f64 a)
46.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
46.3%2(exp.f64 b)
46.3%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
Calls

3 calls:

3.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
45.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
45.9%2(exp.f64 b)
45.9%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* 1/4 a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

2 calls:

3.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
45.9%2(exp.f64 b)
45.9%2b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.5%)

Memory
-17.7MiB live, 29.3MiB allocated; 2ms collecting garbage
Accuracy

Total -20.2b remaining (-47.4%)

Threshold costs -20.2b (-47.4%)

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

5 calls:

4.0ms
a
3.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
33.4%1(exp.f64 a)
33.4%1a
33.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
33.4%1(exp.f64 b)
33.4%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch11.0ms (0.4%)

Memory
-6.0MiB live, 41.5MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-0.11572912482915378
-0.0008633444929076291
Samples
5.0ms112×0valid
Compiler

Compiled 186 to 165 computations (11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (65.4% of total)
ival-div: 1.0ms (32.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-0.11572912482915378
-0.0008633444929076291
Samples
5.0ms96×0valid
Compiler

Compiled 221 to 193 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (77.2% of total)
ival-div: 1.0ms (38.6% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.6%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-1.2860597254453787e+50
-1.5243787867096146e+44
Samples
7.0ms144×0valid
2.0ms37×0exit
Compiler

Compiled 497 to 380 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (46% of total)
ival-div: 1.0ms (23% of total)
ival-add: 1.0ms (23% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory
-31.6MiB live, 13.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-27355.07449384225
-218.81000389887072
Samples
7.0ms112×0valid
Compiler

Compiled 466 to 340 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 4.0ms (81.9% of total)
ival-div: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-0.02173784851175128
-0.001779526161950301
Samples
5.0ms96×0valid
Compiler

Compiled 269 to 203 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (77.1% of total)
ival-div: 1.0ms (38.6% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-0.02173784851175128
-0.001779526161950301
Compiler

Compiled 251 to 191 computations (23.9% saved)

bsearch17.0ms (0.6%)

Memory
-34.9MiB live, 16.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.5883805396913597e-8
65469.46958473809
Samples
10.0ms160×0valid
Compiler

Compiled 501 to 381 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (63.7% of total)
ival-div: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.4%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.5883805396913597e-8
65469.46958473809
Samples
5.0ms112×0valid
Compiler

Compiled 491 to 381 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (65.8% of total)
ival-div: 1.0ms (32.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify54.0ms (1.8%)

Memory
9.4MiB live, 55.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094408
1129408
2261408
3837408
44995408
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1080863910568919/144115188075855872 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 -8286623314361713/72057594037927936 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh 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 -480000000000000026496902242617961156660166656 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 a #s(literal -720 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 b #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 5/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))))))
(if (<=.f64 b #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1080863910568919/144115188075855872 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 -8286623314361713/72057594037927936 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (+ (cosh a) (sinh 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 -480000000000000026496902242617961156660166656 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 a #s(literal -720 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 b #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 5/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))))))
(if (<=.f64 b #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))

derivations246.0ms (8.4%)

Memory
-14.4MiB live, 219.4MiB allocated; 25ms collecting garbage
Stop Event
fuel
Compiler

Compiled 411 to 99 computations (75.9% saved)

preprocess47.0ms (1.6%)

Memory
38.0MiB live, 82.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 854 to 224 computations (73.8% saved)

end0.0ms (0%)

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

Profiling

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